Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of solutions in 0 ≤ x ≤ 
of the equation cos 3x tan 5x = sin 7xis……..
Text Solution
Verified by ExpertsThe correct answer is:
0007
Ans. 0007
Sol. cos 3x tan 5x = sin 7x
⇒ cos 3x 
= sin 7x
∴ x ≠ (2k +1) 
, cos 5x ≠ 0
∴ cos 3x sin 5x = sin 7x cos 5x
⇒ sin 8x + sin 2x = sin 12x + sin 2x
⇒ sin 12 x – sin 8x = 0
⇒ 2 cos 10x sin 2x = 0
⇒ 2x = n π or 10x = (2m +1) 
⇒ x = 
, (2m +1) 
∴ In 0 ≤ x ≤ 
, there are seven solutions.
0, 
, 
, 
, 
, 
, 
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