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Math Help - bcos x-asinx=q asinx+bcosx=p a^2+b^2+p^2+q^2=? math genius help

  1. #1
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    bcos x-asinx=q asinx+bcosx=p a^2+b^2+p^2+q^2=? math genius help

    bcos x-asinx=q asinx+bcosx=p a^2+b^2+p^2+q^2=?


    how to do this question....thank you so much....
    I suck at math.... math genius help
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  2. #2
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    Re: bcos x-asinx=q asinx+bcosx=p a^2+b^2+p^2+q^2=? math genius help

    p^2=(asinx+bcosx)^2=a^2(sinx)^2+b^2(cosx)^2+ 2ab sinx cosx
    q^2=(bcosx-asinx)^2=b^2(cosx)^2+a^2(sinx)^2- 2ab sinx cosx
    adding the two we get
    p^2 +q^2 =2a^2(sinx)^2 +2 b^2 (cosx)^2
    a^2 +b^2 +p^2+q^2=a^2(1+2(sinx)^2)+ b^2 (1+2(cosx)^2)
    Thanks from kaokaokao
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  3. #3
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    Re: bcos x-asinx=q asinx+bcosx=p a^2+b^2+p^2+q^2=? math genius help

    Really? that simple? Can it be simplified furher? I thought it would end up with a number or something?
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