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If cottheta=(7)/(8) ,evaluate: (i)((1+...

If cot`theta=(7)/(8)` ,evaluate:
(i)`((1+sintheta)(1-sintheta))/((1+costheta)(1-costheta))`
(ii)`cot^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
`(49)/(64)`
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Knowledge Check

  • If tan theta=(7)/(8) ,then the value of ((1+sitheta)(1-sintheta))/((1+costheta)(1-costheta)) is:

    A
    `(7)/(8)`
    B
    `(8)/(7)`
    C
    `(64)/(49)`
    D
    `(49)/(64)`

  • (sintheta)/(1+costheta) is:

    A
    `(cotheta)/(1-sintheta)`
    B
    `(1-costheta)/(sintheta)`
    C
    `(1-sintheta)/(costheta)`
    D
    `(1-costheta)/(1+costheta)`

  • (1+costheta)(1-costheta) is equal to:

    A
    `sin^(2)theta`
    B
    `tan^(2)theta`
    C
    1
    D
    0

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