Answer :

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

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