# Math

Solve for all possible values of x where O°≤x≤360°.
tan x = -1/√3
cos x = 1/2

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1. Use the CAST rule to determine the sign of the functions cosine and tangent:

From the given values,
cos(θ)>0 and
tan(θ)<0
Only θ in quad.4 will satisfy both conditions.

Therefore find the reference angle (between 0 and 90°)
t=arctan(1/√3), or
t=arccos(1/2)
and obtain

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