Preparing for next year 4

**jonoe** · December 12th 2010, 07:24 PM

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 $tan(a-B)tan(B)= 1/2$

**mr fantastic** · December 12th 2010, 10:37 PM

Originally Posted by jonoe

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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