SOLUTION: solve the right triangle formed by the point(8,6)for the three angles and sides List the values of all six trigonometric functions for this point

Question 316635: solve the right triangle formed by the point(8,6)for the three angles and sides
List the values of all six trigonometric functions for this point
Found 2 solutions by nyc_function, stanbon:
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
This point lies in quadrant 1.
After graphing the point, I am given the value of each leg of this right triangle.
I need to use the Pythagorean Theorem to find the hypotenuse.
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
sqrt{100} = sqrt{c^2}
10 = c
The hypotenuse is 10.
I can know find the value of the six trig functions of x.
sinx = opp/hyp
sinx = 6/10
cosx = adj/hyp
cosx = 8/10
tanx = opp/adj
tanx = 6/8
cscx = 10/6
secx = 10/8
cotx = 8/6
NOTE: The letter x represents the angle form at the origin.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
triangle formed by the point (8,6) for the three angles and sides
List the values of all six trigonometric functions for this point
--------
x = 8 ; y = 6
---
r = sqrt(8^2+6^2) = sqrt(100) = 10
---
sin = y/r = 6/10 = 3/5
cos = x/r = 8/10 = 4/5
tan = y/x = 6/8 = 3/4
---
csc = 5/3
sec = 5/4
ctn = 4/3
==================
Cheers,
Stan H.
==================
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