If then value of is-

Maths Complex Number Argand Plane and Polar Representation Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

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Text Solution

Verified by Experts

The correct answer is:

 (2 cosθ) 3 = and

(2i sinθ) 5 =

⇒ 2 8 i cos 3 θ sin 5 θ =

= – 2 – (3 – 1)

= (2i sin8θ) – 2(2i sin6θ) – 2(2i sin4θ) + 6(2i sin2θ)

2 7 cos 3 θ sin 5 θ = sin8θ – 2sin6θ – 2sin4θ + 6 sin2θ

Here a = 1, b = –2, c = –2, d = 6

⇒ a + b + c + d = 1 – 2 – 2 + 6 = 3.

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