Question 986631
Suppose sin t = (4/7)
and cos t < 0. Find each of the following (exact values):
-----
Those conditions imply that "t" is in the 2nd Quadrant
where y is positive and x is negative.
--------------
By defition, sin = y/r
Since sin = 4/7, y = 4 and r = 7
Solve for "x" (which is negative)
---
x = =sqrt[7^2-4^2] = -sqrt(49-16) = -sqrt(33)
----

cos t = x/r = -sqrt(33)/7
-------
tan t = y/x = -4/sqrt(33)
---------- 
csc t = r/y = 7/4
----------- 
sec t = r/x = -7/sqrt(33)
-----------
cot t = x/y = -sqrt(33)/4
------------------
Cheers,
Stan H.
-------------