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Math Help - solution to trig

  1. #1
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    solution to trig

    determine the fundamental solution set of sin x = sin 5x
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  2. #2
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    Quote Originally Posted by maeca View Post
    determine the fundamental solution set of sin x = sin 5x
    Case 1: 5x = x + 2 n \pi.

    Case 2: 5x = (\pi - x) + 2 n \pi.

    Solve for x in each case.
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  3. #3
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    sin cos

    is sinA + sin B = 2 sin ((A+B)/2) cos ((A-B)/2)
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    Quote Originally Posted by maeca View Post
    is sinA + sin B = 2 sin ((A+B)/2) cos ((A-B)/2)
    Yes. And I know what you're thinking. That's another way of solving the problem.

    But the relevant formula for this question is

    sinA - sin B = 2 sin ((A-B)/2) cos ((A+B)/2)
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  5. #5
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    tangent

    i would like to ask another question.
    how can i express tan x/(1-2sin x + 3 cos x) in terms of tan(x/2)
    thanks for answering my questions...
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  6. #6
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    Quote Originally Posted by maeca View Post
    i would like to ask another question.
    how can i express tan x/(1-2sin x + 3 cos x) in terms of tan(x/2)
    thanks for answering my questions...
    Read this: PlanetMath: Weierstrass substitution formulas

    By the way: Questions unrelated to the original questions should be posted as a new thread.
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