131 In Exercises 31 ric functions o In Exercises 516 find th

131 In Exercises 31 ric functions o In Exercises 5-16, find the point (x,y) on the unit circle that corresponds to the real number t. 3 4 31. t= 6. t 2 35. t=- 8. t= 6 4 In Exercis using its p 37. sin 5 9.1=2m 12. t= 87 39. cos 4 13. t =-/T 41. cos 15. t=-3m 16, t= Page 293 1,163

Solution

point corresponding to t on unit circle is (x,y)=(cost,sint)

5)

t=_/4

(x,y)=(1_/2,1_/2)

6)

t=_/3

(x,y)=(1_/2,3_/2)

7)

t=7_/6

(x,y)=(-3_/2,-1_/2)

8)

t=5_/4

(x,y)=(-1_/2,-1_/2)

9)

t=2_/3

(x,y)=(-1_/2,3_/2)

10)

t=5_/3

(x,y)=(1_/2,-3_/2)

11)

t=3_/2

(x,y)=(0,-1)

12)

t=

(x,y)=(-1,0)

13)

t=-7_/4

(x,y)=(1_/2,1_/2)

14)

t=-4_/3

(x,y)=(-1_/2,3_/2)

15)

t=-3_/2

(x,y)=(0,1)