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Math Help - Preparing for next year 4

  1. #1
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    Preparing for next year 4

    Hi,

    I've asked for a list of questions from a teacher to do over the holidays. I'm struggling to use the text book to help me.

    Could someone provide HOW to do these questions, as I just want to get an idea of what I'm getting next year.

    Thanks.

    7. Find the exact solutions of 9^s^i^n^²^x + 9^c^o^s^²^x = 10 for 0 <= x <= 2pi

    8. if cos(a) = sin(a-B)sin(B) Prove that tan(a-B)tan(B)= 1/2
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  2. #2
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    Quote Originally Posted by jonoe View Post
    Hi,

    I've asked for a list of questions from a teacher to do over the holidays. I'm struggling to use the text book to help me.

    Could someone provide HOW to do these questions, as I just want to get an idea of what I'm getting next year.

    Thanks.

    7. Find the exact solutions of 9^s^i^n^²^x + 9^c^o^s^²^x = 10 for 0 <= x <= 2pi

    8. if cos(a) = sin(a-B)sin(B) Prove that tan(a-B)tan(B)= 1/2
    Have you been taught any of the material that these questions are based on?

    I will outline Q7:

    Substitute \sin^2(x) = 1 - \cos^2(x). Then your equation has the form \displaystyle \frac{9}{t} + t = 10 where t = 9^{\cos^2(x)}. Solve for t and then solve for cos(x) and hence x.
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