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If p=(2sin theta)/(1+cos theta+sin theta...

If `p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin theta)`, then

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(sin theta)/(1-cos theta)=(1+cos theta)/(sin theta)

Prove the following identity : (sin theta)/(1+cos theta)+ (sin theta)/(1-cos theta)= 2/(sin theta) .

Knowledge Check

  • if x= (2 sin theta)/(1+ cos theta + sin theta ), then (1 cos theta + sin theta )/(1+sin theta) is

    A
    `1/x`
    B
    `1/x^2`
    C
    x
    D
    `x^2`

  • If x = ( 2 sin theta )/ ( 1+ cos theta + sin theta ) , then ( 1- cos theta + sin theta )/( 1+ sin theta )

    A
    `1+x`
    B
    `1-x`
    C
    x
    D
    ` (1)/(x)`

  • If (2 sin theta)/(1+cos theta + sin theta) = p then (1-cos theta + sin theta)/(1+sin theta)=

    A
    p
    B
    `1//p`
    C
    `2//p`
    D
    `-p`

    • Similar Questions

    Explore conceptually related problems

    If x=(2sin theta)/(1+cos theta+sin theta), then prove that (1-cos theta+sin theta)/(1+sin theta) is equal to x

    (1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

    (1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

    (cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)

    (sin theta)/(1+cos theta)+(sin theta)/(1-cos theta)= _______

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