SOLUTION: Find the values of the trigonometric functions of θ if csc θ = 13/9 and θ is in Quadrant II sin (θ) = cos (θ) = tan (θ) = cot (&#

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Question 930396: Find the values of the trigonometric functions of θ if csc θ = 13/9
and θ is in Quadrant II

sin (θ) =
cos (θ) =
tan (θ) =
cot (θ) =
sec (θ) =
Please explain, I know that sin must be 9/13?
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the values of the trigonometric functions of θ if csc θ = 13/9
and θ is in Quadrant II

sin (θ) =
cos (θ) =
tan (θ) =
cot (θ) =
sec (θ) =
Please explain, I know that sin must be 9/13?
-------------
cos = sqrt(1 - sin^2) = sqrt(1 - 81/169) = sqrt(88/169)
cos = -2sqrt%2822%29%2F13 (Q2 --> negative)
---
tan = sin/cos
cot = 1/tan
sec = 1/cos

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
csc θ = 13/9 and Yes. sin θ = 9/13
what You are missing is Step sqrt%2813%5E2+-+9%5E2%29+=+sqrt%2888%29+=+2sqrt%2822%29
.......
θ is in Quadrant II
..........
cos θ = -2√22 / 13
tan θ = sin/cos = - 9 / 2√22
etc...