The coordinates of a point on the unit circle are (-square root of 3/2, -1/2). If the terminal side of angle theta in standard position passess through the given point, find m-angle-theta. 1) 120 degrees 2) 150 degrees 3) 210 degrees 4) 300 degrees

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The co-ordinates of a point on the unit circle are `(-sqrt 3/2, -1/2)` . The terminal side of angle theta in standard position passes through the point.

`tan theta = (-1/2)/(-sqrt 3/2)`

=> `tan theta = 1/(sqrt 3)`

=> `theta = tan^-1(1/sqrt 3)`

=> `theta = 120 degrees`

The measure of angle `theta` is 120 degrees.

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