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Math Help - Trigonometric problem

  1. #1
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    Trigonometric problem

    Hello, I coldnt solve this problem

    May you help me?

    If y=sin(x)*cos(x) then what is the period?

    I know Sin(x) and Cos(x) periods 2pi
    Tan(x) and Cot(x) are pi but i dont know how i can solve?

    Thanks
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  2. #2
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    Re: Trigonometric problem

    Quote Originally Posted by sunrise View Post
    Hello, I coldnt solve this problem

    May you help me?

    If y=sin(x)*cos(x) then what is the period?

    I know Sin(x) and Cos(x) periods 2pi
    Tan(x) and Cot(x) are pi but i dont know how i can solve?

    Thanks
    use the double angle identity for sine, note ...

    \sin{x}\cos{x} = \frac{1}{2}\sin(2x)
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  3. #3
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    Re: Trigonometric problem

    So,
    As I learned answer is pi

    1\2*sin(2x) is equal to the pi? How i can show?

    Thank you for your attentions.
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  4. #4
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    Re: Trigonometric problem

    Quote Originally Posted by sunrise View Post
    So,
    As I learned answer is pi

    1\2*sin(2x) is equal to the pi?
    you should know the period, T , of y = A\sin(Bx) is T = \frac{2\pi}{B}
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  5. #5
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    Re: Trigonometric problem

    Thank you
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