SOLUTION: Find the values of the trigonometric functions of t from the given information. cos(t) = -11/61, terminal point of t is in Quadrant III

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Question 1107919: Find the values of the trigonometric functions of t from the given information.
cos(t) = -11/61, terminal point of t is in Quadrant III
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
sin(t) = -sqrt%281-cos%5E2%28t%29%29 = -sqrt%281-%28-11%2F61%29%5E2%29 = -sqrt%281-121%2F3721%29%29 = -sqrt%283600%2F3721%29 = -60%2F61.


The sign "-" (minus) is taken at sqrt, since the sine function is negative in QIII.


Having cos(t) and sin(t), you can easily calculate all other trigonometric functions, using their definitions.