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If $z = \frac{1 + \cos θ + i \sin θ}{\sin θ + i (1 + \cos θ)} (0 < θ < π / 2)$
then $| z |$ equals

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Correct option is C

Using z1z2=z1z2 if z2≠0, we get|z|2=(1+cos⁡θ)2+sin2⁡θsin2⁡θ+(1+cos⁡θ)2=1|z|=1

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If z=1+cos⁡θ+isin⁡θsin⁡θ+i(1+cos⁡θ)(0<θ<π/2)then |z|equals

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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If $z = \frac{1 + \cos θ + i \sin θ}{\sin θ + i (1 + \cos θ)} (0 < θ < π / 2)$
then $| z |$ equals