If 12sinx+5cosx=2y^(2)-8y+21, to get val...

If `12sinx+5cosx=2y^(2)-8y+21`, to get values of x and y is

A

`x = 2 n pi + cos ^(-1) ((5)/(13)), n in Z, y = 2`

B

`x = 2 n pi + sin ^(-1) ((5)/( 13)) , n in Z, y = 2`

C

`x = 2 n pi + tan ^(-1) ((5)/( 13)) , n in Z, y = 2`

D

`x = 2 n pi + cos ^(-1) ((5)/( 13)) , n in Z, y = 1`

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The correct Answer is:

A

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