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If tan x =(2b)/ (a- c), y = acos^2 x + 2...

If `tan x =(2b)/ (a- c)`, `y = acos^2 x + 2bsin x cos x + csin^2 x`, `z=asin^2 x-2b sin x cos x + c cos^2 x`, prove that `y-z=a-c`.

A

`y=z`

B

`y+z=a-c`

C

`y-z=a-c`

D

`(y-z)=(a-c)^(2)+4b^(2)`

Text Solution

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The correct Answer is:
C
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