SOLUTION: the pt (5,12) is on the terminal side of an angle that is in standard position. find the value of the six trigonometric function

Question 626404: the pt (5,12) is on the terminal side of an angle that is in standard position. find the value of the six trigonometric function
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The point (5, 12) is in the first quadrant. So all the functions will have positive values. All we have to do is find the ratios. The 5 will be the adjacent side and the 12 will be the opposite side. We just have to find the hypotenuse and we'll be ready to go.

To find the hypotenuse we use the Pythagorean Theorem:

Lets call the angle in question angle A.
sin(A) = opposite/hypotenuse = 12/13
cos(A) = adjacent/hypotenuse = 5/13
tan(A) = opposite/adjacent = 12/5
csc(A) = 1/sin(A) = 13/12
sec(A) = 1/cos(A) = 13/5
cot(A) = 1/tan(A) = 5/12
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