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AP EAMCET · Maths · Trigonometric Equations

A true statement among the following identities is

  1. A \(\cos 5 \theta=16 \cos ^5 \theta-20 \cos ^3 \theta-5 \cos \theta\)
  2. B \(\cos 5 \theta=20 \cos ^3 \theta-16 \cos ^5 \theta+5 \cos \theta\)
  3. C \(\cos 5 \theta=16 \cos ^5 \theta+20 \cos ^3 \theta-5 \cos \theta\)
  4. D \(\cos 5 \theta=16 \cos ^5 \theta-20 \cos ^3 \theta+5 \cos \theta\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\cos 5 \theta=16 \cos ^5 \theta-20 \cos ^3 \theta+5 \cos \theta\)

Step-by-step Solution

Detailed explanation

\(\cos 5 \theta=\cos (4 \theta+\theta)\)…