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Math Help - Trig

  1. #1
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    Trig

    Can somebody help me do these please.o (greater or equal to) y and (less than or equal to) 360 degrees.

    1. sin(x/2)= √3/2

    2. 2sin^2(x) - 7sin(x) = -3 when o (greater or equal to) x and (less than or equal to) 360 degrees.

    3. and most importantly sin2(y)= 4y when o (greater or equal to) y and (less than or equal to) 360 degrees.

    Thanks.


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  2. #2
    Member Last_Singularity's Avatar
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    Quote Originally Posted by alpina View Post
    Can somebody help me do these please.o (greater or equal to) y and (less than or equal to) 360 degrees.

    1. sin(x/2)= √3/2

    2. 2sin^2(x) - 7sin(x) = -3 when o (greater or equal to) x and (less than or equal to) 360 degrees.

    3. and most importantly sin2(y)= 4y when o (greater or equal to) y and (less than or equal to) 360 degrees.

    Thanks.
    1. Let y = \frac{x}{2}. So you're solving
    sin(y) = \sqrt{3}/2. Find the value of y and then convert it back to x

    2. Let sin(x) = y. So you're solving
    2y^2 - 7y + 3 = 0. Solve that for y and then solve the equation sin(x) = y

    3. I can't read your notation here. Is it sin(2y) or sin^2 y?
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  3. #3
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    Quote Originally Posted by Last_Singularity View Post
    1. Let y = \frac{x}{2}. So you're solving
    sin(y) = \sqrt{3}/2. Find the value of y and then convert it back to x

    2. Let sin(x) = y. So you're solving
    2y^2 - 7y + 3 = 0. Solve that for y and then solve the equation sin(x) = y

    3. I can't read your notation here. Is it sin(2y) or sin^2 y?
    thanks for your reply, and it is sin(2y). first time doing math on computer =)), sorry.
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  4. #4
    Member Last_Singularity's Avatar
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    So for sin(2y)= 4y, let x=2y. Then we get:
    sin(x) = 2x

    Use a graphing calculator of some sorts to find where sin(x) - 2x = 0

    Then divide by 2 to get your value of y
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  5. #5
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    still don't really understand how to do it right
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