SOLUTION: find two values of theta in degrees (0 greater than or equal to theta< 360 degrees) if cos of theta= - (squareroot of 3)/2, not using a calculator.

Algebra ->  Trigonometry-basics -> SOLUTION: find two values of theta in degrees (0 greater than or equal to theta< 360 degrees) if cos of theta= - (squareroot of 3)/2, not using a calculator.      Log On


   



Question 259019: find two values of theta in degrees (0 greater than or equal to theta< 360 degrees) if cos of theta= - (squareroot of 3)/2, not using a calculator.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem, you must be familiar with the unit circle or the special triangles 45-45-90; 30-60-90.
cos(theta) = sqrt(3)/2 is a 30 degree angle.
Now since it is negative, it is in quad II or III.
in quad II: 180 - 30 = 150 degrees
in quad III: 180 + 30 = 210 degrees