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Math Help - Re-write the following in their simplest form

  1. #1
    dno
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    Re-write the following in their simplest form

    6sin2(theta)cos2(theta)
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  2. #2
    Flow Master
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    Quote Originally Posted by dno View Post
    6sin2(theta)cos2(theta)
    You should know that 2 sin A cos A = sin(2A) ....
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  3. #3
    dno
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    Quote Originally Posted by mr fantastic View Post
    You should know that 2 sin A cos A = sin(2A) ....


    yeah I know you've got to use that but I dont know how to apply it to that equation
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  4. #4
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    Quote Originally Posted by dno View Post
    yeah I know you've got to use that but I dont know how to apply it to that equation
    Just to make it clearer:

    \sin{(2n\theta)} = 2\sin{n\theta}\cos{n\theta}

    where n is a real number.

    For your case:
    6\sin{2\theta}\cos{2\theta} = 3\cdot \underbrace{2\sin{2\theta}\cos{2\theta}}_{= ?} = \ldots
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