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Math Help - simplify the experession

  1. #1
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    simplify the experession

    use the addition and subtraction formulas to simplify the experession

    sin(x+y)sin(x-y)
    write the answer in terms of sin x and cos y only
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by cm3pyro View Post
    use the addition and subtraction formulas to simplify the experession

    sin(x+y)sin(x-y)
    write the answer in terms of sin x and cos y only
    sin(a+b)=sin(a)cos(b)+sin(b)cos(a) and sin(a-b)=sin(a)cos(b)-sin(b)cos(a)...now apply that
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  3. #3
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    i did ..but i am coming up with the worng answer.
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by cm3pyro View Post
    i did ..but i am coming up with the worng answer.
    well since I am sure you know that a^2-b^2=(a+b)(a-b) we have that case here...except in reverse...so it should be sin(a)^2cos(b)^2-sin(b)^2cos(a)^2
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