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If sin A=a cos B and cosA=b sinB then...

If `sin A=a cos B and cosA=b sinB `then, `(a^2 - 1) tan^2 A+(1 -b^2)tan^2B` is equal to

A

`(a^(2)-b^(2))/(a ^(2))`

B

`(a^(2)-b^(2))/(b ^(2))`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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