Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of distinct solutions of the equation
cos 2 2x + cos 4 x + sin 4 x + cos 6 x + sin 6 x = 2 in the interval [0, 2 π ] is
Text Solution
Verified by ExpertsThe correct answer is:
8
(8)
Sol. 
cos 2 2x + cos 4 x + sin 4 x + cos 6 x + sin 6 x = 2
⇒ 
cos 2 2x + 1 – 
sin 2 2x + 1 – 
sin 2 2x = 2
⇒ cos 2 2x = sin 2 2x
⇒ tan 2 2x = 1
Now 2x ∈ [0, 4 π ] ⇒ x = 
so number of solution = 8
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