SOLUTION: Find the exact values of the six trigonometric functions of θ if θ is in standard position and the terminal side of θ is in the specified quadrant and satisfies the

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Question 1068766: Find the exact values of the six trigonometric functions of θ if θ is in standard position and the terminal side of θ is in the specified quadrant and satisfies the given condition.
III; parallel to the line
5y − 3x + 1 = 0
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Answer by trsomas23@gmail.com(17) About Me  (Show Source):
You can put this solution on YOUR website!
5y -3x + 1 = 0
5y = 3x - 1
y = (3/5)x - (1/5)
Slope = 3/5
In quadrant III, tan θ is positive.
tan θ = 3/5
θ is the angle of a right triangle, whose
opposite O = 3
adjacent A = 5
Therefore hypotenuse H = sqrt%283%5E2%2B5%5E2%29=sqrt%2834%29
sin θ = -O%2FH+=+-3%2Fsqrt%2834%29
cos θ = -A%2FH+=+-5%2Fsqrt%2834%29
csc θ = 1/sin θ = -sqrt%2834%29%2F3
sec θ = 1/cos θ = -sqrt%2834%29%2F5
cot θ = 1/tan θ = 5%2F3
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