Give the degree measure of θ.
-$$\theta = \cot ^ { - 1 } ( - 1 )$$

Question

Quizplus · Accepted Answer

The cotangent function, $\cot$, is the reciprocal of the tangent function. $\cot(\theta) = -1$ means that the tangent of some angle is -1. This occurs in the second quadrant where both sine and cosine are negative, making their ratio positive. However, since we're looking for $\cot^{-1}(-1)$, we're interested in the angle in the third quadrant where both sine and cosine are negative, making their ratio positive. The angle in standard position whose tangent (and cotangent) is -1 at $135^\circ$.

Give the Degree Measure of θ θ=cot⁡−1(−1)\theta = \cot ^ { - 1 } ( - 1 )θ=cot−1(−1)

Give the Degree Measure of θ $\theta = \cot ^ { - 1 } ( - 1 )$