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Math Help - Solving trigonometric equations question

  1. #1
    Junior Member Hasan1's Avatar
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    Solving trigonometric equations question

    Solve for x:

    sin x - sin x tan x = 0

    I've tried using trig identities to make them all in the same term (sin/cos/tan) but was not sucessful.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Hasan1 View Post
    Solve for x:

    sin x - sin x tan x = 0

    I've tried using trig identities to make them all in the same term (sin/cos/tan) but was not sucessful.
    Factor:
    sin(x) - sin(x)~tan(x) = 0

    sin(x)(1 - tan(x)) = 0

    Thus either
    sin(x) = 0 \implies x = 0, \pi
    or
    1 - tan(x) = 0 \implies x = \frac{\pi}{4}, \frac{5\pi}{4}

    -Dan
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  3. #3
    Junior Member Hasan1's Avatar
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    oh wow that is much more simple than I was making it out to be , Thanks for your prompt help!
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