Q. 4

# If π< θ < 2π and z = 1 + cos θ + i sin θ, then write the value of |z|.

As we all know that,

z = 1 + cos θ + i sin θ

a = (1+cosθ) and b = sin θ

π< θ < 2π it means z lies in second quadrant

z = -θ

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