Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Number of solutions of the equation
(sin 2 x) n + 
(cos 2 x) n = 4 in (0, 2 π ) will be
Text Solution
Verified by ExpertsThe correct answer is:
4
Ans. 4
Sol. 
= 4
⇒ sec 2 x + coses 2 x = 4 ⇒ 1 = 4 sin 2 x cos 2 x
⇒ sin 2 2x = 1 ⇒ sin2x = ±1 ⇒ 2x = (2n +1) 
⇒ x = (2n + 1) 
⇒ x = 
s
Hence number of solutions is 4.
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