SOLUTION: PLEASE HELP ME!!! How do i find the 6 trig functions of -7pi/2 Sin= csc= Cos= sec= tan= cot=

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Question 732893: PLEASE HELP ME!!! How do i find the 6 trig functions of -7pi/2
Sin= csc=
Cos= sec=
tan= cot=

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do i find the 6 trig functions of -7pi/2
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You don't need to list the 6 functions, we know what they are.
"Please help me" doesn't usually attract attention, either, it irritates some tutors so they ignore the problem.
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Get the reference angle by add 2pi until the result is positive.
-7pi/2 + 2pi = -3pi/2
-3pi/2 + 2pi = pi/2
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sin = 1
cos = 0
tan = sin/cos = undefined
cot = cos/sin = 0
sec = 1/cos = undefined
csc = 1/sin = 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-7%2Api%2F2+ is telling you to rotate around the unit circle
+7+ times in the clockwise direction in increments of
+pi%2F2+.
You know that if you rotate by +pi%2F2+ 4 times, you will come
back to where you started. That leaves +3%2Api%2F2+ that you
have to rotate in the clockwise direction.
The rotating arrow is now pointing in the positive vertical
direction. This is the same angle as +pi%2F2+, so
+sin%28+pi%2F2+%29+=+1+
+csc%28+pi%2F2+%29+=+1+
+cos%28+pi%2F2+%29+=+0+
+sec%28+pi%2F2+%29+=+infinity+
+tan%28+pi%2F2+%29+=+infinity+
+cot%28+pi%2F2+%29+=+0+