Download Math 112 Trigonometry Questions

Math 112 – Trigonometry Questions
Work out answers to each question without using a calculator.
1. Convert 60 to radians.
3
and  is in quadrant II, then
5
find cos.
11. If sin  
2. A right triangle is given. Give the value
of tan.
12. Sketch the graph of f ( x)  2sin x on the
interval [0, 2 ] .
3. Give the exact value of cos 1
3
.
2
4. Give the value of sin 90 .
5. If the measure of angle B is five times
the measure of angle A, then find the
measure of angle B.
6. In which quadrant is  if tan   0 and
cos  0 ?
13. At what values on the interval 2 , 2 
is f ( x)  tan x undefined?

 4 
14. Give the exact value of sin  tan 1    .
 3 

15. Give the exact value of
    
sin 1  sin 
 .
  4 
3
16. If cos 2 x  , and x is in Quadrant I,
4
then find the exact value of cos 2x.
17. Give the exact value of side length AB.
 1
7. Give the exact value of sin 1    .
 2
8. Give the exact value of each of the
missing side lengths.
18. Give the period of f ( x)  sin 2 x .
19. Give the amplitude of f ( x)  3cos x.
9. Solve the trigonometric equation for
2
0    2 : 2cos    cos 
10. Solve the trigonometric equation for
0    2 : sin   sin  cos  0
20. Give the exact value of
sin 30  cos60.