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Math Help - Explain these please

  1. #1
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    Explain these please

    Q1.Reduce sin^{4}\theta to an expression involving only function of multiples of \theta,raised to the first power.

    Q2.How 2cos^{2}\theta=1+cos2\theta


    I would also like to know how to reduce any function to the first power
    thanks
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  2. #2
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    Re: Explain these please

    Quote Originally Posted by hacker804 View Post
    Q1.Reduce sin^{4}\theta to an expression involving only function of multiples of \theta,raised to the first power.

    Q2.How 2cos^{2}\theta=1+cos2\theta


    I would also like to know how to reduce any function to the first power
    thanks
    are you not familiar with the derivation of the double angle identity for cosine ?

    \cos(2t) = \cos(t + t) = \cos{t} \cdot \cos{t} - \sin{t} \cdot \sin{t} = \cos^2{t} - \sin^2{t}

    power reduction identities derived from this double angle identity for cosine ...

    \cos^2{t} = \frac{1+\cos(2t)}{2}

    \sin^2{t} = \frac{1-\cos(2t)}{2}
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