SOLUTION: Find the exact values of the six trigonometric functions of angle theta if sec theta = -5 and (pie/2) < theta < pie

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact values of the six trigonometric functions of angle theta if sec theta = -5 and (pie/2) < theta < pie       Log On


   

Question 974701: Find the exact values of the six trigonometric functions of angle theta if sec theta = -5 and (pie/2) < theta < pie
Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
No math problems with pie, unless it's a pie chart.
----
Use the Greek letter pi.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact values of the six trigonometric functions of angle theta if sec theta = -5 and (pie/2) < theta < pie
***
Reference angle theta is in quadrant II where sin>0, cos<0
sec theta=-5
cos theta=-1/5
sin theta=√(1-cos ^2 theta)=√(1-(1/25))=√24/5
csc theta=5/√24=(5√24)/24
tan theta=sin theta/cos theta=-√24
cot theta=-1/√24=-√24/24