Answer
sin,csc,cos,sec negative values and tan, cot have positive values
Work Step by Step
1. Angle in the Quadrant III, between 180 and 270. It will have negative x and 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
$\csc\theta=(-)$
$\sec\theta=(-)$
$\cot\theta=(+)$
