SOLUTION: Suppose 90degrees < theta < 180degrees. Determine with reasons whether each of the following is positive or negative. A. tan(theta + 180degrees) B. cot (theta/2) C. sec (-

Question 647906: Suppose 90degrees < theta < 180degrees. Determine with reasons whether each of the following is positive or negative.
A. tan(theta + 180degrees)
B. cot (theta/2)
C. sec (-theta)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Suppose 90degrees < theta < 180degrees. Determine with reasons whether each of the following is positive or negative.
..
A. tan(theta + 180degrees): negative
This moves the standard position of theta from quadrant II to quadrant IV where tan<0
..
B. cot (theta/2): negative
Theta remains in quadrant II where cot<0
..
C. sec (-theta): positive
Theta is in quadrant IV where sec>0
(note: angle not in given domain)
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