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If x=r cos theta cos phi, y=r cos theta ...

If `x=r cos theta cos phi, y=r cos theta sin phi, z=r sin theta`, then prove that `x^(2)+y^(2)+z^(2)=r^(2).`

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If x=rcos thetacosphi,y=rcosthetasinphi and z=r sin theta, show that , x^2+y^2+z^2=r^2

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Knowledge Check

  • If x= r sin theta cos phi , y=rsin theta sin phi and z=r costheta then the value of sqrt(x^2+y^2+z^2) will be

    A
    `cos theta`
    B
    `-r`
    C
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    D
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  • If sin theta sin phi - cos theta cos phi+1 =0 then the value of 1+ cot theta tan phi is-

    A
    1
    B
    2
    C
    0
    D
    `-1`

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