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Explain that sintheta and costheta are p...

Explain that `sintheta` and `costheta` are periodic functions.

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A periodic function is one whose value repeats after a definite interval of time `Sintheta ` and `costheta` both are the periodic functions because
`sin(theta+2pin)=sintheta`
and `cos(theta+2pin)=costheta`
where `n=1,2,3….`
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Knowledge Check

  • If sintheta=(1)/(3) , then costheta will be

    A
    `(8)/(9)`
    B
    `(4)/(3)`
    C
    `(2sqrt2)/(3)`
    D
    `(3)/(4)`

  • Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+costheta=sqrt2sintheta} be two sets. Then

    A
    `psubQ and Q-P=phi`
    B
    `QcancelsubP`
    C
    `PcancelsubQ`
    D
    P=Q

  • If sintheta+costheta=x then sintheta-costheta=?

    A
    `pmsqrt(2-x^(2))`
    B
    `pmsqrt(2+x^(2))`
    C
    `pmsqrt(4-x^(2))`
    D
    `pmsqrt(4+x^(2))`

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    (sintheta-costheta+1)/(sintheta+costheta-1) is equal to

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