Find the measure of each angle in the problem.
-sec(-180°)
A)-1
B)Undefined
C)1

Question

Quizplus · Accepted Answer

The secant of an angle in trigonometry is the reciprocal of the cosine of that angle. For -180°, cos(-180°) = -1. Therefore, sec(-180°) = 1/(-1) = -1. However, the cosine of -180° is not undefined; the mistake in the explanation is that sec(-180°) is indeed defined and equals -1, contradicting the choice marked as correct. The correct interpretation should be that sec(-180°) = -1, making the initial selection and explanation incorrect. The accurate answer is that sec(-180°) = -1, but due to the error in reasoning, the initial response was mistakenly marked as "Undefined".

Find the Measure of Each Angle in the Problem