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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
The real part of (1−cos⁡θ+2isin⁡θ)−1{\left( {1 - \cos \theta + 2i\sin \theta } \right)^{ - 1}} is
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Correct option: D
15+3cos⁡θ\frac{1}{{5 + 3\cos \theta }}
Option D (15+3cos⁡θ\frac{1}{{5 + 3\cos \theta }}) is correct because it is the real part of the given complex expression after rationalizing the denominator.

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