SOLUTION: Find the values of the trigonometric functions of t from the given information. sin(t) =( − 12/13), terminal point of t is in Quadrant IV

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Question 1197484: Find the values of the trigonometric functions of t from the given information.
sin(t) =( − 12/13), terminal point of t is in Quadrant IV
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if sin%28t%29=%28-12%2F13%29, terminal point of t+is in Quadrant IV

You are working with a right triangle where the opposite side and hypotenuse are given as 12and 13, respectively.
By the Pythagorean Theorem, the adjacent side=sqrt%2813%5E2-12%5E2%29
=sqrt%28169-144%29
=sqrt%2825%29
=5

recall: in Quadrant IV,
sin<0, cos>0, tan<0, cot<0, sec>0, csc<0
then
cos%28+t%29+=5%2F13
tan%28t%29+=-12%2F5
cot+%28t%29+=-5%2F12
sec+%28t%29+=13%2F5
csc+%28t%29+=+-13%2F12