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If (sin theta + cos theta)/(sin theta - ...

If `(sin theta + cos theta)/(sin theta - cos theta) = (5)/(4)` , the value of `(tan^(2) theta + 1)/(tan^(2) theta - 1) ` is

A

`(25)/(16)`

B

`(41)/(40)`

C

`(9)/(41)`

D

`(40)/(41)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If cos theta = (3)/(5) , then the value of (sin theta - tan theta + 1)/( 2 tan^(2) theta) is

    A
    `(13)/(15)`
    B
    `(91)/(160)`
    C
    `(14)/(15)`
    D
    `(92)/(160)`

  • If cos theta = (3)/(5) , then the value of (sin theta . tan theta + 1)/( 2 tan ^(2) theta) is

    A
    `(88)/(160)`
    B
    `(91)/(160)`
    C
    `(92)/(160)`
    D
    `(93)/(160)`

  • If sin theta = cos theta ,then the value of 2 tan^(2) theta + sin^(2) theta -1 is equal to

    A
    `1/2`
    B
    `5/2`
    C
    `3/2`
    D
    2

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