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If piltthetalt 2pi, then sqrt((1+costhet...

If `piltthetalt 2pi, then sqrt((1+costheta)/(1-costheta))` is equal to

A

`cosectheta+cot theta`

B

`cosectheta-cottheta`

C

`-cosectheta+cot theta`

D

`-cosec theta-cot theta`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int(d(costheta))/(sqrt(1-cos^2theta)) is equal to

    A
    `cos^(-1)theta+C`
    B
    `theta+C`
    C
    `sin^(-1)theta+C`
    D
    `sin^(-1)(costheta)+C`

  • If pi le theta le (3pi)/2 , then sqrt((1+cos theta)/(1-costheta))+sqrt((1-costheta)/(1+costheta)) is equal to :

    A
    2 cosec `theta`
    B
    `-2 "cosec" theta`
    C
    2 sec `theta`
    D
    `-sec theta`

  • lim theta - 0(sqrt1-costheta/theta) is equal to :

    A
    `sqrt2`
    B
    `2sqrt2`
    C
    `1/sqrt2`
    D
    `1/(2sqrt2)`

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