3 Find the exact solutions to the equation 0 cos 60sin 26 in

3 Find the exact solutions to the equation 0 cos 60-sin 26- in the intervallo, 4. Given the rational function 2r 16 f(z) find each of the following: 4a -21 (a) The domain of f(z) (b) The z-intercepts (if any)

Solution

costheta - sin2theta =0

costheta - 2sintheta*costheta =0

costheta(1 - 2sintheta) =0

costheta =0 ; theta = pi/2 , 3pi/2

sintheta = 1/2 ; theta = pi/6 , pi - pi/6 = pi/6, 5pi/6

theta = pi/2 , 3pi/2 , pi/6 , 5pi/6 ( solution) in the interva;l [0, 2pi]