JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

Let

z=\cos \theta+i \sin \theta

. Then the value of

\sum\limits_{{m=1}}^{15} \operatorname{Im}\left(z^{2 m-1}\right)

\theta=2^{\circ}

View answer and explanation

Correct option: D

\frac{1}{4 \sin 2^{\circ}}

Option D (

\frac{1}{4 \sin 2^{\circ}}

) is correct because by using the formula for the sum of a geometric series and trigonometric identities, the given sum simplifies to

\frac{1}{4 \sin 2^{\circ}}

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