Single Trigonometric Function

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Jun 12, 2022.

  1. nycmathguy

    nycmathguy

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    Look for more PM questions later tonight. I do care and value everything you have to say whether we agree or not. Let's learn to agree to disagree.

    IMG_20220612_183438.jpg

    WE RETURN TO CALCULUS NEXT WEEKEND.
     
    nycmathguy, Jun 12, 2022
    #1
  2. nycmathguy

    MathLover1

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    upload_2022-6-13_14-52-20.gif ..................use identity sec^2(t)=1/cos^2(t)

    = upload_2022-6-13_14-53-10.gif

    = upload_2022-6-13_14-53-45.gif


    = upload_2022-6-13_14-54-15.gif


    = upload_2022-6-13_14-54-54.gif ..................simplify, cancel cos^2(t)


    =sin^2(t)

    domain:
    R (all real numbers)

    range:
    {y element R : 0<=y<=1}
     
    MathLover1, Jun 13, 2022
    #2
    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Can you explain in words your answer for the range?
    Thanks.

    P. S. You totally ignored all my PM questions after I dedicated about 45 minutes to put it all together. This is not cool. You remind me so much of MarkFL and Soroban from previously visited math forums.
     
    nycmathguy, Jun 14, 2022
    #3
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