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Math Help - The Addition and subtraction Formulas

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    Member purplec16's Avatar
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    The Addition and subtraction Formulas

    If sin \alpha = \frac{-5}{13} and tan is less than 0, find the exact value of  sin (\alpha-\frac{\pi}{3})

    How do you find the exact value do you use the Sine of differences or do you use the cofunction identities for any real number t?
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by purplec16 View Post
    If sin \alpha = \frac{-5}{13} and tan is less than 0, find the exact value of  sin (\alpha-\frac{\pi}{3})

    How do you find the exact value do you use the Sine of differences or do you use the cofunction identities for any real number t?
     sin(A-B) = sinA*cos B - cosA*sinB

    Use your given values of A and B in the above equation and you should have your answer.

    Keep in mind that :


     \cos A = \sqrt{1-sin^{2}A}
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