Mark the Correct alternative in the following:
The number of solution in [0, π/2] of the equation cos 3x tan 5x = sin 7x is
cos 3x tan 5x = sin 7x
2 cos 3x sin 5x = 2 cos 5x sin 7x
sin 8x + sin2x = sin 12x + sin 2x
sin 8x = sin12x
sin 12x - sin8x = 0
2 sin 2x cos 10x = 0
If sin2x=0
Then, x=0
If cos10x = 0
Then
and x=0 (from above equation sin2x=0)
So, there are 6 possible solutions.
Option C