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("sin"theta)/(1-costheta)+("tan"theta)/(...

`("sin"theta)/(1-costheta)+("tan"theta)/(1+costheta)=secthetacosectheta+cottheta`

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(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

(i) ("sin"theta "tan"theta)/(1-costheta)=1sectheta (1+costheta)/(1-costheta)=("tan"^2theta)/((sectheta-1))^2

Knowledge Check

  • (sin^(2)theta)/(costheta(1+costheta))+(1+costheta)/(costheta)=?

    A
    a) `cosectheta`
    B
    b) `2sectheta`
    C
    c) `2costheta`
    D
    d) `sectheta`

  • (sin3theta-cos3theta)/(sintheta+costheta)+1 =

    A
    `2 sin 2theta`
    B
    `2 cos 2theta`
    C
    `tan 2theta`
    D
    `cot 2theta`

    • Similar Questions

    Explore conceptually related problems

    Prove that : (sin theta)/(1 - costheta) = cosec theta + cot theta

    costheta-cos2theta=sin3theta

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

    Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

    Prove that:sqrt((1+costheta)/(1-costheta))={cos e ctheta+cottheta,if0

    (i) "sin"theta cot theta + "sin"theta cosectheta = 1+ costheta (ii) sectheta(1-"sin"theta) (sectheta+tantheta)=1 (iii) "sin"theta(1+"tan"theta)+costheta(1+cottheta)=sectheta+cosectheta

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