Chapter 13 - The Trigonometric Functions - 13.1 Definitions of the Trigonometric Functions - 13.1 Exercises - Page 678: 24

$-,+,-,-,+,-$

- In the fourth quadrant where $\theta\in [\frac{3\pi}{2},2\pi]$, the sine is $-$ and cosine is $+$. - Since tangent is the ratio of sine to cosine, the tangent is $-$ in the fourth quadrant. - Since cotangent is 1 over tangent, the cotangent is $-$ in the fourth quadrant. - Since secant is 1 over cosine, the secant is $+$ in the fourth quadrant. - Since cosecant is 1 over sine, the cosecant is $-$ in the fourth quadrant.