1. find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value

part 1: sin 17pi/6

a. use the fact that there are 2 pi radians in each circle to find another angle, smaller than 2 pi, that is equivalent to 17pi/6

b. find the sine of the angle you found in part 1. this is also 17pi/6

2. tan 13pi/4

a. use the fact that there are 2 pi radians in each circle to find another angle, smaller than 2 pi, that is equivalent to 13pi/4

b. find the tangent of the angle you found in part 1. this is also 13 pi/4

3. sec 11pi/3

a. use the fact that there are 2pi radians in each circle to find another angle, smaller than 2 pi, equivalent to 11pi/3.

b. find the secant of the angle you found in part 1. this is also 11pi/3

4. if sin t = 0.29 and sin w = 0.43, both t and w are positive, and the angle determined by r and w are in quadrant 2, then which of the following statements are true? explain and show work.

a. t>w

b. w>t

c. cannot be determined

5. if cos t= -0.42 and cos w = -0.80, both t and w are positive, and the angles determined by t and w are in quadrant 3, then which of the following statements is true? explain and show work

a. t> w

b. w>t

c. cannot be determined

6. if sin theta = 4/5 and theta is in quadrant 2, what is the value of tan theta? show work

7. if cot theta = 1.5 and theta is in quadrant 3, what is the value of sin theta? show work.

8. if tan theta = 3/4 and theta is an acute angle, find cos theta. show work.

9. if sin theta = 12/13 and theta is an acute angle, find cot theta. show work.