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If cosec x + cot x = a, then cos x is...

If `cosec x + cot x = a`, then `cos x` is

A

`a^(2) + (1)/(a^2)`

B

`(a^2 + 1)/( a^2 -1)`

C

`(a^2 - 1)/( a^2 + 1)`

D

`(a^2 + 1)/( 2a)`

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