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Prove that, cos^(2) (theta + phi) - sin^...

Prove that, `cos^(2) (theta + phi) - sin^(2) (theta - phi) = cos 2 theta cos 2 phi`

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Prove that, cos^(3) theta cos 3 theta + sin^(3) theta sin 3 theta = cos^(3) 2 theta

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Knowledge Check

  • The value of [cos 2 (theta+ phi)+ 4 cos (theta + phi) sin theta sin phi+2 sin ^(2) phi] is-

    A
    `cos 2 theta`
    B
    `sin 3 theta`
    C
    `sin 2 theta`
    D
    `cos 3 theta`

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