Question

1. Use each trig ratio to determine all values of theta, to the nearest degree for
0<=theta<=360.
d)cos=-squareroot3/2(no calc)

Answer 1

Since we are given that cos(theta) = -√3/2, we can use the unit circle to determine the values of theta.

Recall that the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

Since cos(theta) = -√3/2, the x-coordinate of the point on the unit circle corresponding to theta is -√3/2.

We can determine the values of theta by finding the angles where the x-coordinate is -√3/2.

In the unit circle, the x-coordinate is -√3/2 at two angles: 150 degrees and 210 degrees.

So, the solutions for theta, to the nearest degree, are:

theta = 150 degrees
theta = 210 degrees