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Prove that : (tantheta)/(1-cottheta)+...

Prove that : `(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta" cosec "theta`

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Explore conceptually related problems

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

Prove that : (tan theta)/(sectheta+1)-(tantheta)/(1-sectheta)=2cosec theta

Knowledge Check

  • (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta) is equal to -

    A
    `1-tantheta-cottheta`
    B
    `1+tantheta-cottheta`
    C
    `1-tantheta+coththeta`
    D
    `1+tantheta+cottheta`

  • (1+cottheta-cosectheta)(1+tantheta+sectheta)=?

    A
    1
    B
    2
    C
    0
    D
    `-1`

  • What is the value of (sintheta)/(1-cottheta)-(cos theta)/(1-tantheta) ?

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

    • Similar Questions

    Explore conceptually related problems

    1+cottheta="cosec"theta

    (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=sectheta"cosec"theta+1

    Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta

    (sin^(2)theta)/(1-cottheta)+(cos^(2)theta)/(1-tantheta)=1+u,"then" : u

    ((1-tantheta)/(1-cottheta))^(2)+1=

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