SOLUTION: Suppose Θ is in standard position whose terminal side lies in Quadrant II. Find the exact values of the remaining five trigonometric functions for Θ for cos Θ = -

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Question 1040869: Suppose Θ is in standard position whose terminal side lies in Quadrant II. Find the exact values of the remaining five trigonometric functions for Θ for
cos Θ = - √3/2
Found 2 solutions by alyx_v, ikleyn:
Answer by alyx_v(38) About Me  (Show Source):
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.
If cos%28theta%29 = -sqrt%283%29%2F2 and theta is in QII then

sin%28theta%29 = sqrt%281-sin%5E2%28theta%29%29 = sqrt%281-%28-sqrt%283%29%2F2%29%29%5E2%29 = sqrt%281+-+%283%2F4%29%29 = sqrt%281%2F4%29 = 1%2F2.

The sign "+" was chosen at the square root since sine is positive in QII.

Now, when you know that  sin%28theta%29 = 1%2F2  and  cos%28theta%29 = -sqrt%283%29%2F2, you can easily calculate all other trigonometric functions of theta.