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(1+sin2theta+cos2theta)/(1+sin2theta-cos...

`(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)`=

A

`1/2tantheta`

B

`1/2cottheta`

C

`tantheta`

D

`cottheta`

Text Solution

Verified by Experts

The correct Answer is:
D
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(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+2theta)/(1+sin2 theta-cos 2 theta)=cot theta

Knowledge Check

  • (1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

    A
    `(1)/(2)tan theta`
    B
    `(1)/(2)cot theta`
    C
    `tan theta`
    D
    `cot theta`

  • (sintheta+sin2theta)/(1+costheta+cos2theta) =

    A
    `(1)/(2)tantheta`
    B
    `(1)/(2)cottheta`
    C
    `tantheta`
    D
    `cottheta`

  • (sintheta+sin2theta)/(1+costheta+cos2theta)=?

    A
    `tantheta`
    B
    `sintheta`
    C
    `costheta`
    D
    `tan^(2)theta`

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