Question

Where in the unit circle would secant be 1/2?
a) π/3
b) 2π/3
c) 5π/3
d) 4π/3

Answer 1

The secant is equal to the reciprocal of the cosine. To find an angle where the secant is 1/2, we need to find where the cosine is 2. None of the given options satisfy this condition.

Step-by-step explanation:

To find where in the unit circle the secant is 1/2, we need to look for an angle whose secant value is 1/2. The secant is the reciprocal of the cosine, so we are looking for an angle where the cosine is 2. Since the cosine represents the x-coordinate of a point on the unit circle, we need to find an angle where the x-coordinate is 2. In the unit circle, the x-coordinate is equal to the cosine of the angle, so we need to find where the cosine is equal to 2. None of the given options satisfy this condition, so the answer is none of the above (c).