Asked by weirdo
Solve for x
(√3)sinx - cosx = 2
X is smaller than 360 degrees
Help
(√3)sinx - cosx = 2
X is smaller than 360 degrees
Help
Answers
Answered by
Steve
Hmmm.
√3 sinx = 2+cosx
3sin^2(x) = 4 + 4cosx + cos^2(x)
3 - 3cos^2x = 4 + 4cosx + cos^2(x)
4cos^2(x) + 4cosx + 1 = 0
(2cosx + 1)^2 = 0
cosx = -1/2
Looks like that is a good starting point. Check for extraneous solutions.
√3 sinx = 2+cosx
3sin^2(x) = 4 + 4cosx + cos^2(x)
3 - 3cos^2x = 4 + 4cosx + cos^2(x)
4cos^2(x) + 4cosx + 1 = 0
(2cosx + 1)^2 = 0
cosx = -1/2
Looks like that is a good starting point. Check for extraneous solutions.
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