SOLUTION: Suppose sin t = 4/7 and cos t < 0. Find each of the following (exact values): cos t = tan t = csc t = sec t = cot t = Please explain Thank you

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Question 986632: Suppose sin t =
4/7
and cos t < 0. Find each of the following (exact values):

cos t =
tan t =
csc t =
sec t =
cot t =
Please explain
Thank you

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!




Use the definitions for the other functions.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Suppose sin t =
4/7
and cos t < 0. Find each of the following (exact values):

cos t =
tan t =
csc t =
sec t =
cot t =
Please explain
Thank you
I'll do the first
Since sin (t) > 0, and cos (t) < 0, angle t is in the 2nd quadrant





, but since cos < 0,

You now know A, O, and H, and so you should be able to find the other 4 trig. functions, remembering that: csc will be positive, while sec, tan, and cotan will be negaive
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