Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

Real part of e^ei^theta is

(1) ecos θ( cos (sin θ)

(2) ecos θ( cos (cos θ)

(3) esin θ( sin (cos θ)

(4) esin θ( sin (sin θ)

Solution:

Real part of e

ecos θ (ei sin θ) = ecos θ( cos sin θ) + iecos θ ( sin sin θ)

The real part is ecos θ( cos sin θ)

Hence option (1) is the answer.

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