Question

2sin theta -2i cos theta=1+i√3then value of theta is

Answer 1

Estimation of 2 cos theta + 1 relies upon the estimation of theta.

2 cos theta + 1=0 2 cos theta=-1 cos theta =-1/2 Cos theta =-cos (pi/3) Cos theta =cos (pi - pi/3) Cos theta =cos 2pi/3

Canceling cos the two sides we get Theta = 2pi/3.

This is the answer

Answer 2

Answer:

Given, 2sinθ−2icosθ=1+i√3

Compare the real and img. part

2sinθ=1; −2cosθ= √3

sin θ = 1/2 and :cos θ = − √3/2

∴ θ = π − π/6 = 5π/6