Answer
cos, sec are positive
sin, csc, tan, cot are negative
Work Step by Step
1. Angle in the Quadrant IV, between 270 and 360. It will have positive x and negative y values. r is always positive.
2. Determine the sign:
$\sin\theta=\frac{y}{r}= (-)$
$\cos\theta=\frac{x}{r}= (+)$
$\tan\theta=\frac{y}{x}= (-)$
3. Remember, the reciprocal trig function will have the same sign as the original function
$\csc\theta=(-)$
$\sec\theta=(+)$
$\cot\theta=(-)$
