The question is not very clear, i.e is it sqrt(3)
sinx-cosx =0 or sqrt(3sinx)-cos x=0
I will do it for the
questions:
1) sqrt(3) sinx - cos x
=0
or sqrt (3) sinx = cos
x
or, sinx/cosx = tanx =
1/sqrt(3)
i.e. x = pi/6 (or 30
degrees)
2) sqrt (3 sinx)-cosx=
0
or 3sinx = cos^2 x = 1- sin^2
x
(using sin^2 x + cos^2 x =
1)
or, sin^2x + 3 sinx -1 =
0
solving this quadratic equation, we get sin x = (1/2) x
(-3+ sqrt (13))
or, x = 17.62
degrees.
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