SOLUTION: Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of: sin Ɵ = ? cos Ɵ = ? tan Ɵ = ? Also, find the number of degrees in Ɵ

Algebra ->  Trigonometry-basics -> SOLUTION: Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of: sin Ɵ = ? cos Ɵ = ? tan Ɵ = ? Also, find the number of degrees in Ɵ      Log On


   

Question 612148: Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of:
sin Ɵ = ?
cos Ɵ = ?
tan Ɵ = ?
Also, find the number of degrees in Ɵ to the nearest tenth of a degree.
I would love your help, thank you for your time.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of:
sin Ɵ = ?
cos Ɵ = ?
tan Ɵ = ?
Also, find the number of degrees in Ɵ to the nearest tenth of a degree.
**
cot<0 in quadrants II and IV
csc<0 in quadrants III and IV
Therefore, reference angle in quadrant IV
cot Ɵ=-1/3=adjacent side/opposite side
hypotenuse=√(1^2+3^2)=√10
sin Ɵ =-3/√10
cos Ɵ = 1/√10
tan Ɵ=-3
Ɵ=288.4º