SOLUTION: Suppose sin t = 6/7
and cos t < 0. Find each of the following (exact values):
cos t =
tan t =
csc t =
sec t =
cot t =
Algebra.Com
Question 986424: Suppose sin t = 6/7
and cos t < 0. Find each of the following (exact values):
cos t =
tan t =
csc t =
sec t =
cot t =
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If 
then 
, and then by the Pythagorean Identity, 
, and then with a little algebra, 
. Taking the square root: 
. Adjust the sign based on any given conditions.
Once you know the sine and cosine, the tangent is sine over cosine, cotangent is the reciprocal of tangent, secant is the reciprocal of cosine, and cosecant is the reciprocal of sine.
John
My calculator said it, I believe it, that settles it
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