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AP EAMCET · Maths · Trigonometric Equations

A true statement among the following identities is

  1. A sin5θ=16cos4θsinθ-12cos2θsinθ+sinθ
  2. B sin5θ=16cos4θ-12cos2θ+1
  3. C sin5θ=16cos4θsinθ+12cos2θsinθ-sinθ
  4. D sin5θ=16cos4θsinθ+12cos2θsinθ+sinθ
Verified Solution

Answer & Solution

Correct Answer

(A) sin5θ=16cos4θsinθ-12cos2θsinθ+sinθ

Step-by-step Solution

Detailed explanation

We have, sin5θ=sin3θ+2θ ⇒sin5θ=sin3θcos2θ+cos3θsin2θ ⇒sin5θ=3sinθ-4sin3θ2cos2θ-1+4cos3θ-3cosθ2sinθcosθ…