SOLUTION: What is the trig. functions if sin t =12/13, terminal point t is in the second quadrant ? cos t = tan t = cot t = sec t = csc t =

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Question 570020: What is the trig. functions if sin t =12/13, terminal point t is in the second quadrant ?
cos t =
tan t =
cot t =
sec t =
csc t =

Answer by lwsshak3(11628) About Me  (Show Source):
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What is the trig. functions if sin t =12/13, terminal point t is in the second quadrant ?
You are working with a right triangle where the opposite side and hypotenuse are given as 12 and 13, respectively. By the Pythagorean Theorem, the adjacent side=√(13^2-12^2)
=√(169-144)=√25=5. In quadrant II, sin>0, cos<0, tan<0, cot<0, sec<0, csc>0
cos t =-5/13
tan t =-12/5
cot t =-5/12
sec t =-13/5
csc t = 13/12