Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Solve 8 sin x = 
+ 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x = n π + 
, n ∈ Ι , x = 
– 
, n ∈ Ι
8 sin 2 x cos x = 
sin x + cos x.
⇒ 4(2 sin x cos x) sin x = 
sin x + cos x.
⇒ 2(2 sin 2x sin x) = 
sin x + cos x.
⇒ 2 cos x – 2 cos 3x = 
sin x + cos x.
⇒ cos x – 
sin x = 2 cos 3x.
⇒ cos 3x = cos 
⇒ 3x = 2n π ± 
, n ∈ Ι
(i) by taking positive sign x = n π + 
, n ∈ Ι
(ii) by taking negative sign x = 
– 
, n ∈ Ι
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