Find all values of theta if theta is in the interval [0degrees,360degrees) and has the given function value sec theta= -2

, in degrees

Step-by-step explanation:

The secant of an angle is given by:

In this question:

So

In the first quadrant, the angle that has cosine of 1/2 is 60º.

The cosine is negative in the second and in the third quadrant.

The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.

The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º

So the values of in the interval are:

, in degrees