SOLUTION: Still feel confused here Find the values of the trigonometric functions of t from the given information. cos t = − 12/13 Terminal point of t is in Quadrant III sin t

Algebra ->  Trigonometry-basics -> SOLUTION: Still feel confused here Find the values of the trigonometric functions of t from the given information. cos t = − 12/13 Terminal point of t is in Quadrant III sin t      Log On


   

Question 918469: Still feel confused here
Find the values of the trigonometric functions of t from the given information.
cos t = − 12/13
Terminal point of t is in Quadrant III
sin t =
tan t =
csc t =
sec t =
cot t =
Is Sin t and the other a standard trig identities or something because I cant find it anywhere. Don't quite understand how these are solved with the given information. If someone could please explain these it would be greatly appreciated.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Refer to a graph of the unit circle with labeled reference angles.

t is just a little bit greater than pi. The sine will also be negative if the terminal point is in quadrant III.

Use either a scientific calculator or a table of trigonometric function values to find the "arc whose cosine is " -12%2F13; you will use the decimal value for this cosine.

You could use the Pythagorean relationship between sine and cosine to find sine of t:
sin%5E2%28t%29%2Bcos%5E2%28t%29=1