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Math Help - Trig Identity math question.

  1. #1
    HBK
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    Trig Identity math question.

    In TrianglePQR:

    3sinP + 4 CosQ= 6
    and
    SinQ +3 CosP= 1

    a)find Sin(P+Q)
    b)Determine the measure of angle R in radians.

    If any one can help me solve this, I would really appreaciate it!
    Last edited by mr fantastic; July 11th 2010 at 07:50 PM. Reason: Edited title.
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  2. #2
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    Have you seen this?

    a \sin x + b \cos x= \sqrt{a^2+b^2}\sin(x+\psi) , \psi = \arctan\left(\frac{a}{b}\right)
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  3. #3
    HBK
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    No I haven't.
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  4. #4
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    Now you have, try to apply it to your problem.
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  5. #5
    HBK
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    Ok, I will give it a shot.
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  6. #6
    HBK
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    Sorry for the double post, what would I use for Y.
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  7. #7
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    Using a and b

    Quote Originally Posted by pickslides View Post
    Have you seen this?

     \psi = \arctan\left(\frac{a}{b}\right)
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  8. #8
    HBK
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    Ok thanks! I really need this problem solved. Hopefully this works out!
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  9. #9
    HBK
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    I still cant work it out!
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