Give complete answers to all of the following questions. Showing your work where appropriate is necessary. Please show all steps. Thank you.
1. Write cos(x) in terms of sin(x).
2. Write in terms of sine and cosine in a way that has no division.
3. Verify that.
4. Verify that.
5. Verify that.
6. Simplify.
7-1. Find the exact value of sin 15.
8. Find the exact value of.
9. Write cos(30 + x) as a single function of x.
10. Find the exact value of.
11. Find the exact value of sin 30cos 60 + cos 30sin 60
12. Use the given information to find (a) sin(s + t) (b) tan(s + t) and (c) the quadrant of s + t.
Cos s = 3/5 and sin t = 5/13 s and t in quadrant I ?
13. Find the exact value of 2 sin 22.5 cos 22.5.
14. Use identities to find values of the sine and cosine functions for each angle measure.
x given cos 2x = 2/3 and p/2