SOLUTION: Please explain how to find the values of the trigonometric functions of θ from the information given? tan(θ) = 11/6 θ in quadrant III sin(θ) = cos(&#

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Question 929334: Please explain how to find the values of the trigonometric functions of θ from the information given?
tan(θ) = 11/6
θ in quadrant III

sin(θ) =
cos(θ) =
cot(θ) =
sec(θ) =
csc(θ) =

THANKS!
Found 2 solutions by ewatrrr, Fombitz:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
tan(θ) = sin/cos = 11/6
sqrt(11^ + 6^2) = √157
quadrant III
........
sin(θ) = -11/√157
cos(θ) = -6/√157
cot(θ) = 6/11
sec(θ) = -√157/6
csc(θ) = -√157/11
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!







Since the angle is in the third quadrant, both sin and cos are negative, so Z must be negative.

Then,
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