4x Use the general angle definitions of the trigonometric fu

4x Use the general angle definitions of the trigonometric functions to find the exact value of sin without using a calculator by answering questions (a-e) a In what quadrant does the terminal side of the angle 0le? The terminal side of the angle 0 lies in Quadrant b. Is the sine function positive or negative in this quadrant? The sine function is | in this quadrant. c. Determine the reference angle. Click to select your answer(s)

Solution

sin(4/3) = sin240

a) = 4/3 lies in 3^rd quadrant

b) sine function will be negative in this quadrant

c) Reference angle = 240 – 180 = 60 degree

d) sin(4/3) = sin(4/3 - ) = -sin(/3)

e) sin(4/3) = -sqrt(3)/2 = -0.866