Vocabulary

  • have to: Must do
  • to do with: To be about something; concern
  • look at: To use your eyes to focus on something
  • for example: As an illustration or instance.
  • as long as: For the period that; provided that.
  • care of: Used in an address to indicate the person who will receive the mail for someone else.
  • hang on: To wait for the person you phoned to answer
  • contrary to: In opposition to; against.
  • work out
  • depending on: To rely on for support (financial or emotional)
  • with it: Intelligent, alert, and up-to-date.
  • on the line: At risk; in a situation where something could be lost.
  • in order to: For the purpose of; with the aim of.
  • along with: In addition to; together with.
  • deal with
  • to the power of: Indicating exponentiation in math; repeated multiplication.
  • no matter: Regardless of; it does not matter.
  • go back to: To return to a starting point
  • on to: Toward something; forward
  • move on: To decide to change or go to a different place
  • of course: Sure ; Certainly
  • check out
  • literally: In a literal manner or sense; exactly as stated.
  • content: Being happy or satisfied
  • eliminate: To completely remove; to get rid of
  • positive: Showing agreement or support for something
  • procrastination: Act of putting off something you ought to do
  • brilliant: Having a great amount of intelligence or talent
  • amount: Quantity of something
  • roughly: Approximately; (of numbers) about; around
  • imagine: To think creatively about; form mental picture of
  • divide: To split numbers by another number, e.g. 6 / 2 = 3
  • substitute: To perform the tasks instead of someone else
  • function: Social event, or party such as a wedding
  • capital: Writing the first letter of a word in big letters
  • explain: To make clear or easy to understand by describing
  • simply: In an easy or clear manner
  • form: Sports team or person's current winning record
  • define: To explain the meaning of words
  • apply: To spread a substance or liquid over a surface
  • identity: Collection of qualities that makes a person
  • pretty: Being attractive to the eye in a simple way
  • coordinate: To match styles or colors that go well together
  • equal: Same in shape, size, or number
  • break: To create a new record e.g. running the 100m dash
  • equation: Mathematical statement showing things to be equal
  • scroll: To move up and down a computer screen
  • promote: To try to encourage popularity/sales of a product
  • root: Emotional connection with a place, history etc.
  • square: Shape with 4 equal length sides and 4 equal angles
  • original: Being first made, thought or performed; fresh
  • science: Study of the physical world, based on facts
  • learn: To get knowledge or skills by study or experience
  • terrible: Very bad; horrible
  • simple: Not hard to understand or do; not complex
  • multiply: To increase in number by reproducing/having babies
  • replace: To use instead of something else
  • point: An item to be discussed
  • pal: Friend
  • length: Distance from one end of a pool to the other
  • find: To become aware of something that is happening
  • remember: To give someone a gift, e.g. birthday, wedding
  • subtract: To take away a value or amount from another
  • difference: A thing or issue that people do not agree about
  • tan: A light brown color
  • adjacent: Being close or near to a border, wall, or point
  • isolate: To identify, consider, or deal with separately
  • reciprocal: Equal and meeting the needs of both sides
  • subscription: Regular payment for a service, magazine etc.
  • angle: Place where two lines or surfaces meet
  • geometry: Mathematical study of shapes, surfaces, and space
  • unit: One apartment in a building
  • conversion: Switch from one thing (e.g. religion) to another
  • compress: To press tightly together
  • tangent: Line or curve meeting another line or curve
  • radius: Area around a certain point
  • circumference: Length around an outer boundary, e.g. a circle
  • gradient: A measure of how steep something is
  • arc: Smoothly curving line or movement
  • triangle: Three people connected with each in a relationship
  • diagonal: Joining two opposite corners at an angle
  • inverse: Being the opposite of something else
  • integer: Math a whole number
  • theorem: A statement that can be proved
  • hypotenuse: Side of a right triangle opposite the right angle
  • reddit: Reddit is an American social news aggregation, content rating, and discussion website.
  • theta: 8th letter of the Greek alphabet
  • sine: Angle's ratio of side opposite hypotenuse
  • pi: The ratio of the circumference to the diameter
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  • not found vocabularyNo vocabulary matches your filters
    • adjacent

      US /əˈdʒesənt/

      UK /əˈdʒeɪsnt/

      • Adjective
      • Being close or near to a border, wall, or point
      • (In geometry) having a common vertex and side.
      B1
      More
    • along with

      US /əˈlɔŋ wɪð/

      UK /əˈlɔŋ wið/

      • Preposition
      • In addition to; together with.
      • Adverb
      • In company or together with someone or something.
      • Including; in addition to.
      A2
      More
    • angle

      US /ˈæŋɡəl/

      UK /ˈæŋgl/

      • Noun
      • Place where two lines or surfaces meet
      B1TOEIC
      More
    • arc

      US /ɑrk/

      UK /ɑ:k/

      • Noun
      • Smoothly curving line or movement
      • Intransitive Verb
      • To bend in a smooth curve
      B2
      More
    • as long as

      US /æz lɔŋ æz/

      UK /æz lɔŋ æz/

      • Conjunction
      • For the period that; provided that.
      • For the length of time that
      • Preposition
      • On the condition that; providing that.
      • Having the same length as.
      A1
      More
    • brilliant

      US /ˈbrɪljənt/

      UK /'brɪlɪənt/

      • Adjective
      • Having a great amount of intelligence or talent
      • Being very bright, like a diamond; shining
      • Noun
      • A diamond or other gem cut in a particular form with many facets to have exceptional brilliance.
      A2
      More
    • capital

      US /ˈkæpɪtl/

      UK /'kæpɪtl/

      • Noun
      • Writing the first letter of a word in big letters
      • Official main city of a country, province or state
      • Adjective
      • Main, or major
      • (Of an offense) liable to the death penalty.
      A2
      More
    • care of

      US /kɛr ʌv/

      UK /kɛə ɔv/

      • Preposition
      • Used in an address to indicate the person who will receive the mail for someone else.
      A2
      More
    • check out

      US /tʃɛk aʊt/

      UK /tʃek aut/

      • Phrase
      • Phrasal Verb
      • To find out information about something
      • To take books out of a library
      A1
      More
    • circumference

      US /sərˈkʌmfərəns/

      UK /səˈkʌmfərəns/

      • Noun
      • Length around an outer boundary, e.g. a circle
      C1
      More
    • compress

      US /kəmˈprɛs/

      UK /kəmˈpres/

      • Transitive Verb
      • To press tightly together
      • To make smaller; reduce in time, size etc.
      B1
      More
    • content

      US /ˈkɑnˌtɛnt/

      UK /'kɒntent/

      • Adjective
      • Being happy or satisfied
      • In a state of peaceful happiness.
      • Noun (Countable/Uncountable)
      • Information in something, e.g. book or computer
      • The subject matter of a book, speech, etc.
      A2
      More
    • contrary to

      US /ˈkɑnˌtrɛri tu/

      UK /ˈkɔntrəri tu:/

      • Preposition
      • In opposition to; against.
      • Differing from; not in agreement with.
      A1
      More
    • conversion

      US /kənˈvɜ:rʒn/

      UK /kənˈvɜ:ʃn/

      • Noun
      • Switch from one thing (e.g. religion) to another
      • Means of scoring additional points in rugby
      B1
      More
    • coordinate

      US /ko'ɔrdəˈnet/

      UK /kəʊ'ɔ:dɪneɪt/

      • Transitive Verb
      • To match styles or colors that go well together
      • To cause body parts to move smoothly together
      • Noun
      • Point on a map defining a location e.g. 135N, 34W
      • A matching set of clothes.
      B1
      More
    • deal with

      US /dil wɪð/

      UK /di:l wið/

      • Verb (Transitive/Intransitive)
      • To buy or sell goods or services.
      • Phrasal Verb
      • To take action to solve a problem or manage a situation.
      • To be about; concern.
      A1
      More
    • define

      US /dɪˈfaɪn/

      UK /dɪ'faɪn/

      • Transitive Verb
      • To explain the meaning of words
      • To set or mark the limits of something
      A2TOEIC
      More
    • depending on

      US

      UK

      • Phrasal Verb
      • To rely on for support (financial or emotional)
      • Influenced or determined by.
      • Preposition
      • Subject to; contingent on
      • Relying on someone or something for support or assistance.
      A2
      More
    • diagonal

      US /daɪˈæɡənəl/

      UK /daɪˈægənl/

      • Adjective
      • Joining two opposite corners at an angle
      • Noun
      • A straight line joining two opposite corners of a square, rectangle, or other straight-sided shape.
      • A diagonal pattern or design.
      B2
      More
    • divide

      US /dɪˈvaɪd/

      UK /dɪ'vaɪd/

      • Verb (Transitive/Intransitive)
      • To split numbers by another number, e.g. 6 / 2 = 3
      • To separate something into equal pieces
      • Noun
      • A separation or distinction.
      A2TOEIC
      More
    • eliminate

      US /ɪˈlɪməˌnet/

      UK /ɪ'lɪmɪneɪt/

      • Transitive Verb
      • To completely remove; to get rid of
      • To remove from a contest by beating them
      B1TOEIC
      More
    • equation

      US /ɪˈkweʒən, -ʃən/

      UK /ɪˈkweɪʒn/

      • Noun (Countable/Uncountable)
      • Mathematical statement showing things to be equal
      • Complex set of different facts, ideas or issues
      B1
      More
    • for example

      US

      UK

      • Phrase
      • As an illustration or instance.
      More
    • function

      US /ˈfʌŋkʃən/

      UK /'fʌŋkʃn/

      • Noun
      • Social event, or party such as a wedding
      • Mathematical operation used in calculations
      • Intransitive Verb
      • To serve a certain purpose or role
      • To be operating, working or achieving its purpose
      A2TOEIC
      More
    • geometry

      US /dʒiˈɑ:mətri/

      UK /dʒiˈɒmətri/

      • Uncountable Noun
      • Mathematical study of shapes, surfaces, and space
      • Mathematical shape of something
      B2
      More
    • go back to

      US /ɡo bæk tu/

      UK /ɡəu bæk tu:/

      • Phrasal Verb
      • To return to a starting point
      A1
      More
    • gradient

      US /ˈɡrediənt/

      UK /ˈgreɪdiənt/

      • Noun
      • A measure of how steep something is
      B2
      More
    • hang on

      US /hæŋ ɑn/

      UK /hæŋ ɔn/

      • Phrasal Verb
      • To wait for the person you phoned to answer
      • To persevere or persist, especially in a difficult situation.
      A2
      More
    • have to

      US /hæv tu/

      UK /ˈhæv tə/

      • Auxiliary Verb
      • Must do
      A1
      More
    • hypotenuse

      US /haɪˈpɑtn:ˌus, -ˌjus/

      UK /haɪˈpɒtənju:z/

      • Noun
      • Side of a right triangle opposite the right angle
      C2
      More
    • identity

      US /aɪˈdɛntɪti/

      UK /aɪ'dentətɪ/

      • Noun (Countable/Uncountable)
      • Collection of qualities that makes a person
      • Who someone is; the name of a person
      B1
      More
    • in order to

      US /ɪn ˈɔrdɚ tu/

      UK /in ˈɔ:də tu:/

      • Preposition
      • For the purpose of; with the aim of.
      • Phrase
      • In a specific sequence or arrangement.
      • With the aim of; for the purpose of.
      C1
      More
    • integer

      US /ˈɪntɪdʒɚ/

      UK /ˈɪntɪdʒə(r)/

      • Countable Noun
      • Math a whole number
      B2
      More
    • inverse

      US / ˈɪnˌvə:s/

      UK /ɪnˈvɜ:s /

      • Adjective
      • Being the opposite of something else
      • Noun
      • Thing that is the complete opposite of another
      B2
      More
    • isolate

      US /ˈaɪsəˌlet/

      UK /ˈaɪsəleɪt/

      • Transitive Verb
      • To identify, consider, or deal with separately
      • To keep in a place or situation apart from others
      B1
      More
    • length

      US /leŋθ/

      UK /leŋθ/

      • Noun (Countable/Uncountable)
      • Distance from one end of a pool to the other
      • Measurement of distance or of time
      • Adjective
      • Being long in extent.
      A2
      More
    • literally

      US /ˈlɪtərəli/

      UK

      • Adverb
      • In a literal manner or sense; exactly as stated.
      • Used for emphasis to describe something that is actually true, often to highlight surprise or intensity.
      B1
      More
    • look at

      US /lʊk æt/

      UK /luk æt/

      • Phrasal Verb
      • To use your eyes to focus on something
      • To focus your eyes on something carefully
      A1
      More
    • move on

      US /muv ɑn/

      UK /mu:v ɔn/

      • Phrasal Verb
      • To decide to change or go to a different place
      • To start talking about something different.
      A1
      More
    • multiply

      US /ˈmʌltəˌplaɪ/

      UK /ˈmʌltɪplaɪ/

      • Verb (Transitive/Intransitive)
      • To increase in number by reproducing/having babies
      • To increase something by a large quantity
      B1
      More
    • no matter

      US

      UK

      • Conjunction
      • Regardless of; it does not matter.
      • Adverb
      • Regardless of; it is not important
      A1
      More
    • of course

      US /ʌv kɔː(r)s/

      UK /ɔv kɔː(r)s/

      • Adverb
      • Sure ; Certainly
      • Phrase
      • For sure; certainly
      A2
      More
    • on the line

      US /ɑn ði laɪn/

      UK /ɔn ðə lain/

      • Phrase
      • At risk; in a situation where something could be lost.
      • Having a great deal of responsibility.
      A1
      More
    • on to

      US /ɑn tu/

      UK /ɔn tu:/

      • Preposition
      • Toward something; forward
      • Aware of someone's activities.
      • Adjective
      • Aware of someone's deception or illegal activities.
      A1
      More
    • original

      US /əˈrɪdʒənəl/

      UK /ə'rɪdʒənl/

      • Adjective
      • Being first made, thought or performed; fresh
      • Being unique or thinking differently from others
      • Noun (Countable/Uncountable)
      • A work of art, writing, or music that is not a copy.
      • A person of fresh initiative or inventiveness.
      A2TOEIC
      More
    • pal

      US /pæl/

      UK /pæl/

      • Countable Noun
      • Friend
      B1
      More
    • pi

      US /paɪ/

      UK /paɪ/

      • Noun
      • The ratio of the circumference to the diameter
      B2
      More
    • positive

      US /ˈpɑzɪtɪv/

      UK /ˈpɒzətɪv/

      • Adjective
      • Showing agreement or support for something
      • Being sure about something; knowing the truth
      • Noun
      • A photograph in which light areas are light and dark areas are dark
      A2
      More
    • procrastination

      US /proʊˌkræstɪ'neɪʃn/

      UK /prəʊˌkræstɪ'neɪʃn/

      • Uncountable Noun
      • Act of putting off something you ought to do
      C2TOEIC
      More
    • promote

      US /prəˈmoʊt/

      UK /prəˈməʊt/

      • Transitive Verb
      • To try to encourage popularity/sales of a product
      • To move someone to a higher position or rank
      A2TOEIC
      More
    • radius

      US /ˈrediəs/

      UK /ˈreɪdiəs/

      • Noun (Countable/Uncountable)
      • Area around a certain point
      • Countable Noun
      • Long bone on the thumb side of your lower arm
      • Line from the center to the edge of a circle
      B2
      More
    • reciprocal

      US /rɪˈsɪprəkəl/

      UK /rɪˈsɪprəkl/

      • Adjective
      • Equal and meeting the needs of both sides
      C1
      More
    • reddit

      US

      UK

      • Proper Noun
      • Reddit is an American social news aggregation, content rating, and discussion website.
      B2
      More
    • replace

      US /rɪˈples/

      UK /rɪ'pleɪs/

      • Transitive Verb
      • To use instead of something else
      • To return an item to its original location
      A2TOEIC
      More
    • root

      US /rut, rʊt/

      UK /ru:t/

      • Noun (Countable/Uncountable)
      • Emotional connection with a place, history etc.
      • The origin or starting place of something
      • Transitive Verb
      • To cause a plant to develop or grow roots
      • (Animals) to search for e.g. food in earth
      A2
      More
    • roughly

      US /ˈrʌflɪ/

      UK /ˈrʌfli/

      • Adverb
      • Approximately; (of numbers) about; around
      • In a manner that is violent or not careful
      B1
      More
    • science

      US /ˈsaɪəns/

      UK /'saɪəns/

      • Uncountable Noun
      • Study of the physical world, based on facts
      A2TOEIC
      More
    • scroll

      US /skroʊl/

      UK /skrəʊl/

      • Intransitive Verb
      • To move up and down a computer screen
      • Verb (Transitive/Intransitive)
      • To move up, down, or across a computer screen
      B2
      More
    • sine

      US /saɪn/

      UK /saɪn/

      • Noun
      • Angle's ratio of side opposite hypotenuse
      C1
      More
    • square

      US /skwɛr/

      UK /skweə(r)/

      • Noun (Countable/Uncountable)
      • Shape with 4 equal length sides and 4 equal angles
      • The result of multiplying Length by the width
      • Adjective
      • Being fair or honest
      • Multiply a number by itself e.g. 2x2 or 6x6
      A2TOEIC
      More
    • subscription

      US /səbˈskrɪpʃən/

      UK /səbˈskrɪpʃn/

      • Noun (Countable/Uncountable)
      • Regular payment for a service, magazine etc.
      B1TOEIC
      More
    • substitute

      US /ˈsʌbstɪˌtut, -ˌtjut/

      UK /'sʌbstɪtju:t/

      • Transitive Verb
      • To perform the tasks instead of someone else
      • To replace one person or thing for another
      • Noun
      • A person or thing acting in place of another
      B2TOEIC
      More
    • subtract

      US /səbˈtrækt/

      UK /səbˈtrækt/

      • Transitive Verb
      • To take away a value or amount from another
      • To take away a value or amount from another
      B2TOEIC
      More
    • tan

      US /tæn/

      UK /tæn/

      • Noun (Countable/Uncountable)
      • A light brown color
      • Brown colored skin from being in the sun
      • Transitive Verb
      • To process leather with a tanning agent
      B2
      More
    • tangent

      US /ˈtændʒənt/

      UK /ˈtændʒənt/

      • Noun
      • Line or curve meeting another line or curve
      • In trigonometry, the ratio of the length of the side opposite the acute angle to the length of the adjacent side in a right-angled triangle.
      • Adjective
      • Line of thought that is not related
      C1
      More
    • terrible

      US /ˈtɛrəbəl/

      UK /ˈterəbl/

      • Adjective
      • Very bad; horrible
      • Causing great fear; frightening
      A2TOEIC
      More
    • theorem

      US /ˈθiərəm, ˈθɪrəm/

      UK /ˈθɪərəm/

      • Noun
      • A statement that can be proved
      B2
      More
    • theta

      US /ˈθetə, ˈθi-/

      UK /ˈθi:tə/

      • Noun
      • 8th letter of the Greek alphabet
      C1
      More
    • to do with

      US

      UK

      • Phrasal Verb
      • To be about something; concern
      A1
      More
    • to the power of

      US /tu ðə ˈpaʊɚ əv/

      UK /tu ðə ˈpaʊə əv/

      • other
      • Indicating exponentiation in math; repeated multiplication.
      B2
      More
    • triangle

      US /ˈtraɪˌæŋɡəl/

      UK /ˈtraɪæŋgl/

      • Noun
      • Three people connected with each in a relationship
      • A three-sided piece of metal used in orchestras
      B1TOEIC
      More
    • unit

      US /ˈjunɪt/

      UK /ˈju:nɪt/

      • Countable Noun
      • One apartment in a building
      • Group of people, e.g. soldiers, that work together
      B2TOEIC
      More
    • with it

      US /wɪð ɪt/

      UK /wið it/

      • Adjective
      • Intelligent, alert, and up-to-date.
      • Understanding and knowledgeable about current trends or information.
      A1
      More
    • work out

      US /wɚk aʊt/

      UK /wə:k aut/

      • Phrasal Verb
      • To find a way to do something, by thinking
      A1
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    B2US
    #sine#theta#squared#angle#circle#length

    All Of Trigonometry Explained In 12 Minutes

    0
    Jasmine Chen posted on 2026/07/06
    Ever felt lost in the world of trigonometry? This super-fast 12-minute video breaks down everything from right angle triangles and the Pythagorean theorem to the unit circle and the laws of sines and cosines! You'll pick up key terms like 'hypotenuse,' 'adjacent,' and 'opposite' and finally understand how these concepts connect.

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