Advanced Algebra 2
Name:_______________________________
Period:___________
Trig Test #2 Review
NO CALCULATOR. SHOW ALL WORK FOR FULL CREDIT. EXACT ANSWERS ONLY.
Simplify the following identities to one term or value.
1. (sec x - 1)(sec x + 1)
3.
sec x
1 cos2 x
sin x
2. sin x cot x
4. sec x
sin 2 x
cos x
Solve each equation on the interval [0, 2 ) . Give EXACT answers.
5. 2 cos x + 1 = 0
6. tan2 x = 1
7. sin x -
=0
8. sec x -2 = 0
Verify the following identities.
9.
1 sin 2 x
csc2 x 1
11.
sin 2 x
sin 2 x
cos x sec x
cos x
10.
1
sec x
1
tan x
cos x cot x
12. tan x sin x + cos x = sec x
Evaluate.
13. cos
14. sin
15. tan 225
16. sec 180
Find the amplitude, period, domain, range, phase shift, and vertical shift for each function and then graph the
function. Graph one period. Label all graphs please!
17. y 4sin 2x
1
18. y cos x 2
A:_________
VS:_____________
A:_______
VS:_____________
P:_____________
Domain:___________
P:___________
Domain:____________
PS:______________
Range:_______________
PS:______________
Range: _____________
19. How does the 2 affect the graph in number 17?
20. What is the horizontal shift of y cos 3x
1
3