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Math Help - solving trigonometry equations algebraically

  1. #1
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    solving trigonometry equations algebraically

    Hello

    I am have a problem solving y =3/tan x and y =2sin x algebraically.

    I can do it graphically but have to confirm my answer algebraically.

    Can anyone point me in the correct direction on how to do this ?

    Thanks.
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by richie View Post
    Hello

    I am have a problem solving y =3/tan x and y =2sin x algebraically.

    I can do it graphically but have to confirm my answer algebraically.

    Can anyone point me in the correct direction on how to do this ?

    Thanks.
    I assume find the points of intersection for the two equations given?

    If so set them equal:

    \frac{3}{\tan(x)} = 2\sin(x)

    \frac{3\sin(x)}{cos(x)} - 2\sin(x) = 0

    Multiply both sides by \cos(x)

    3\sin(x) - 2\sin(x)\cos(x) = 0

    Factor out sin(x)

    \sin(x)(3-2\cos(x))= 0


    From this we can use the null factor theorem to solve
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  3. #3
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    solving trigonometry algebraically

    To e^(1*pi)

    Thanks for your assistance.

    I really appreciate it.
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