8 Assuming that 31 is a point on the terminal side of angle

8. Assuming that (-3,1) is a point on the terminal side of angle , find sin . 3V10 10 10 10 C. TO d. 10 10 9. Find the arc length of a circle of radius 14 with a central angle of radian measure 0.7. d. 980 a. 0.98 b. 9.8 c. 98 10. Find the area of a sector of a circle of radius 5 centimeters with a central angle of 0.4 radian. a. 0.2 cm2 b. 2.5 cm2 c.52 d. 25 cm2 Part B: Free Response Section You must show all your work

Solution

8) (-3, 1) is terminal point

Then r = sqrt[9 + 1] = sqrt(10)

Sin(theta) = -1/sqrt(10)   (option b)

9) Arc = S = R*theta = 14*0.7 = 9.8 (option b)

10) Area = 0.5*r^2*theta = 0.5*25*0.4 = 5 cm^2   (option C)

6) sin(theta) < 0 and cos(theta) < 0 =====> third quadrant

7) (a) cos495 = -1/sqrt(2)

b) sin90 + sin270 = 1 – 1 = 0

8) a) tan150 = -1/sqrt(3)

b) sin45*cos225 = 1/sqrt(2) * (-1/sqrt(2)) = -1/2

9)a) -42 degree = -42*pi/180 = -0.733 radian

b) 5pi/8 radian = 112.5 degree