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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

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The correct Answer is:
B
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Knowledge Check

  • If a sin^(2) x + b cos^(2) x =c, b sin ^(2) y + a cos^(2) y = d and a tan x =b tan y then ( a^(2))/( b^(2)) is equal to

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  • If tan ( A+B) = 3 tan A , then ( sin 2 ( A+B) + sin 2A)/( sin 2B) is equal to

    A
    `(1)/( 3)`
    B
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    C
    2
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    3
  • If tan A=2 tan B+cot B, then 2 tan (A-B) is equal to

    A
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