Use the figure below to answer the following questions a App

Use the figure below to answer the following questions. a. Approximate the measure of the indicated angle, theta, measured in radians. -.8 radians b. Approximate the value of sin(theta). c. Approximate the value of cos(theta). -.5

Solution

Line passes through (0.4, -0.4)

Angle = 2pi/3 + tan^-1(0.4/0.4)

= 3pi/2 +pi/4 = 7pi/4

sin(theta) = - -0.4/sqrt(0.4^2 +0.4^2) = - 1/sqrt2

cos(theta) = 0.4/sqrt(0.4^2 +0.4^2) = 1/sqrt2