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Name:______________________________
Mr. Nickels
Review Trigonometric Functions
Math 3C
Part I: Evaluate the following trigonometric functions. Exact values only.
1) sin 270
4
2) cos
2
3) sin 300
4) cos 120
5
5) cos
4
11
6) sin ()
6
3
7) cos ( 
)
2
8) tan 60

9) tan
6
10) tan 315
11) tan 810
12) tan π
Part II: Express as a function of a positive acute angle.
1) sin 357
2) cos 215
8
3) cos
5
4) tan 179
5) tan ( - 757)
Part III: Find the value of the specified trigonometric function. Exact values only.
4
1) If cos x = and x is in quadrant IV, find tan x.
5
12
2) If sin x =  and x is in quadrant III, find cos x.
13
3
3) If cos x = 
and x is in quadrant II, find cot x.
2
12
4) If cos x =  and x is in quadrant II, find tan x.
13
√7
5) If cos x = − 9 and x is in quadrant II, find tan x.
Part IV: Determine which quadrant angle x is located in.
1) sin x < 0 and sec x < 0
2) cos x > 0 and sin x > 0
3) csc x < 0 and cos x > 0
4) cos x < 0 and tan x > 0
5) cot x < 0 and cos x < 0
Part V: Evaluate. Exact values only.
1) sin 270 + cos 225
2) (cos
3) sin
7

) ( tan
)
4
6
3

+ cos  + cos
2
4
4) 𝑡𝑎𝑛
5𝜋
6
𝜋
− 𝑠𝑖𝑛2 ( 3 )
𝜋
5) 3𝑐𝑜𝑠 2 ( 4 )