Right Triangle Inside Circle O

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Nov 8, 2021.

  1. nycmathguy

    nycmathguy

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    Section 4.4

    20211105_162345.jpg

    Let me see.

    In Section 4.2, sin t = y and cos t = x.

    My answer to part (a) is sin t = y and cos t = x.

    Using the Pythagorean Theorem, I found r to be sqrt{x^2 + y^2}.

    Using the definition of sine and cosine in this section, I found thefollowing:

    sin (theta) = y/r

    sin (theta) = y/[sqrt{x^2 + y^2}]

    cos (theta) = x/r

    cos (theta) = x/[sqrt{x^2 + y^2}]

    I cannot answer part (d) without knowing if parts (a) and (c) are correct.

    You say?
     
    nycmathguy, Nov 8, 2021
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  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Nov 8, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Thank you. Happy to know that my answer in terms of parts (a) through (c) is right but I still don't know how to answer part (d). What conclusion can be stated based on my answer to parts (a) and (c)?
     
    nycmathguy, Nov 8, 2021
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  4. nycmathguy

    nycmathguy

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    Thank you. Happy to know that my answer in terms of parts (a) through (c) is right but I still don't know how to answer part (d). What conclusion can be stated based on my answer to parts (a) and (c)?
     
    nycmathguy, Nov 8, 2021
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