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Prove that: (sin^(3) theta + cos^(3) the...

Prove that: `(sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) = 1-sin theta cos theta`

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Simplify: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) + sin theta cos theta

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Knowledge Check

  • (sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta)= ________

    A
    `(2)/(1-2 cos^(2) theta)`
    B
    `(2)/(2 sin^(2) theta-1)`
    C
    Both A and B
    D
    None of these

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    If a sin^(3) theta + b cos^(3) theta = sin^(3) theta * cos theta and a sin theta - b cos theta=0 , then prove that a^(2)+b^(2)=1 .

    Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

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    (3 cos theta+cos 3 theta)/(3 sin theta-sin 3 theta)=

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