Download cos cos sin sin 2 x x π π = 3 sin 4 A = , cos 0 A > and 8 tan 15 B

Trigonometry
Review 5.1-5.5
Name _______________
Period ______
For #1-3, solve the equation for x (general solutions!). Transform the left side into a single
function using the sum/diff properties first.
3
π
π
1. cos x cos − sin x sin =
5
5
2
1
−
2. sin 2 xcos x − cos 2 xsin x =
2
3. Let sin A =
8
3
, cos A > 0 and tan B = , sin B < 0 . Draw angles A & B and find sin (A+B):
4
15
4. csc 47° ?
A. cos 43°
B. sec 43
C. csc 47
5. Find sin 75°
6. Find csc15°
7. Find sec 75°
Prove each of the following:
8.
cos ( x − y )
= cot x + tan y
sin x cos y
10. sec 2 x + tan 2 x sec 2 x =
sec 4 x
D. sec 47°
11.
1
= csc2 x − csc x cot x
1 + cos x
12. tan ( x − 90o ) =
− cot x
π
π


sin x
13. sin  x +  − cos  x +  =
3
6


3
14. sin=
x cos 2 x cos 2 x sin x − cos 4 x sin x
15.
( cos Acos B − sin Asin B )
2
Hint: Don’t foil!
+ ( sin Acos B + cos Asin B ) =
1
2