Download Unit 3A Review Key

Math III – Unit 3A Review
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LT #7: Convert radian and degree measures and find reference angles.
1. Convert to radians:
210
120
305
3
radians
4
3
radians
5
2. Convert to degrees
5
radians
6
3. Sketch 310 in standard position and find the reference angle.
4. Sketch
9
radians in standard position and find the reference angle.
7
LT #8: Use reference triangles to find all trig values and coordinate points.
5. Given sin  
4
, if  is in Quadrant II, find the sec .
5
6. Find ALL six trig values of
7
.
6
7. Find the coordinates of the point where the terminal side of angle
11
intersects the unit circle.
6
8. Find cos if  is a positive angle in standard position with terminal side that passes through (2,5) . Give
an exact answer.
9. For an angle measure of
6
, which trigonometric ratios are positive?
5
LT #9: Solve Trigonometric equations in degrees and radians.
10. Solve for  , 0    2 , sin tan  tan
11. Solve for  , 0    2 , 2cos2   3cos  0
12. Solve for  , 0    360 , 8sin  4
13. Solve for  , 0    2 , cot   3  3
14. Solve for  , 0    2 , csc  4  1
15. Solve for  , 0    360 , 7sin  1  5
16. Solve for  , 0    360 , csc sec  2csc  0
LT #10: Simplify expressions using trig identities.
Simplify each expression.


17. sin x cot x  1
18. sec cot 
19. 1  sin x 1  sin x 
20.
1
sin x

cot x cos x
22.
tan  cos
sin 
2
21.
2
csc x cos x

cos x sin x