## radh 3 years ago Find each exact value if 0 < x < pi/2 and 0 < y < pi/2 .

1. cos (x + y) if sin x = 5/13 and sin y = 4/5 2. sin (x – y) if cos x = 8/17 and cos y = 3/5 3. tan (x – y) if csc x = 13/5 and cot y = 4/3

2. waterineyes

In first case, you are to find cosx and cosy..

3. waterineyes

Using the identity : $\cos^2(x) + \sin^2(x) = 1$

4. waterineyes

Then after finding you are supposed to use : $\cos(x+y) = \cos(x) \cos(y) - \sin(x) \sin(y)$

Thanks for the method. I wasn't sure what I was supposed to use here.

6. waterineyes

Must remember for the intervals you are given with.. x and y are in 0 to 90 interval, and all trigonometric ratios in this range will be positive..

7. waterineyes

Just try once...