If sec^(2)theta+tan^(2)theta=(7)/(12), t...

If `sec^(2)theta+tan^(2)theta=(7)/(12)`, then `sec^(4)theta-tan^(4)theta=?`

A

`(7)/(12)`

B

`(1)/(2)`

C

`(5)/(12)`

D

1

Verified by Experts

The correct Answer is:

A

`sec^(2)Q + tan^(2) Q =(7)/(12)`
`sec^(4) Q - tan^(4) Q=(sec^(2) Q- tan^(2) Q) (sec^(2)Q+ tan^(2)Q)`
`=1xx(7)/(12)`
`=(7)/(12)`

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