Answer
sin, csc are positive
cos, sec, tan, cot are negative
Work Step by Step
1. Angle in the Quadrant II, between 90 and 180. It will have negative x and positive 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
$\csc\theta=(+)$
$\sec\theta=(-)$
$\cot\theta=(-)$
