Posted by Laytin on Tuesday, October 16, 2012 at 9:56am.
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side?
Please explain how!

Math Trig  Laytin, Tuesday, October 16, 2012 at 10:10am
I know the answer but I don't understand the process. ! If you could explain the process without the answers?!

Math Trig  Reiny, Tuesday, October 16, 2012 at 10:40am
plot the point (12,5) and join it to the origin.
draw a vertical line from the point to the xaxis
You now have a rightangled triangle with a base (x) of 12 and a height (y) of 5
Using Pythagoras, we can find the hypotenuse
h^2 = 12^2 + 5^2 = 169
h = 13
let the base angle be Ø
You should have learned the following definitions
sinØ = opposite/hypotenuse = 5/13
cosØ = adjacent/hypotenus = 12/13
tanØ = opposite/adjacent = 5/12
of course ...
cscØ = 13/5
secØ = 13/12
cotØ = 12/5
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