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cos ^(-1) ((3+5 cos x )/(5+3 cos x )) ...

` cos ^(-1) ((3+5 cos x )/(5+3 cos x )) ` is equal to : a)` tan ^(-1) ((1)/(2) tan ""(x)/(2)) ` b)` 2 tan ^(-1) (2 tan ""(x)/(2))` c)` (1)/(2) tan ^(-1) (2 tan ""(x)/(2))` d)` 2 tan ^(-1) ((1)/(2) tan ""(x)/(2))`

A

` tan ^(-1) ((1)/(2) tan ""(x)/(2)) `

B

` 2 tan ^(-1) (2 tan ""(x)/(2))`

C

` (1)/(2) tan ^(-1) (2 tan ""(x)/(2))`

D

` 2 tan ^(-1) ((1)/(2) tan ""(x)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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