Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Solve the equation sin 3 x cos 3x + cos 3 x sin 3x + 0.375 = 0.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x = 
+ (–1) n+1 . 
, n ∈ Ι
sin 3 x cos 3x + cos 2 x sin 3x + 
= 0
⇒ sin 3 x (3 cos 3 x – 3 cos x) + cos 3 x (3 sin x – 4 sin 3 x) + 
= 0
⇒ 3 sin x cos x(cos 2 x – sin 2 x) + 
= 0
⇒ 8(sin x cos x) cos 2x + 1 = 0
⇒ 2 sin 4x = – 1
⇒ sin 4x = – 
∴ x = 
+ (–1) n+1 
; n ∈ Ι
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