Trigonometry

Sinx+root3cos=1 if 0<=x<360

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  1. Root3cosx nt root3cos

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  2. If you meant

    sinx + √3 cosx = 1
    then try this
    √3 cosx = 1-sinx
    3cos^2x = 1-2sinx+sin^2x
    3(1-sin^2x) = 1-2sinx+sin^2x
    4sin^2x - 2sinx - 2 = 0
    2(2sinx+1)(sinx-1) = 0
    sinx = -1/2 or 1
    x = 90 or 210 or 330
    But 210 does not work in the original equation, so throw it out.

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  3. sinx+1.732cosx=1
    2(sinx(1/2)+(1.732/2)cosx)=1
    sin(x+pi/3)=1/2
    x+pi/3=5pi/6
    x=3pi/2

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