SOLUTION: Use identities to find the value of the following expression Find cos x and tan x if cot x =-2 and cos x<0

Question 1063352: Use identities to find the value of the following expression
Find cos x and tan x if cot x =-2 and cos x<0
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
If the cot is -2, the tangent is -1/2, since they are reciprocals.
cosine is negative in the second and third quadrants only, but in the third quadrant both the sine and cosine are negative, so the tangent and cotangent are positive
This has to be in the second quadrant.
The triangle is a 1,2, sqrt (5), and the cosine is -2/sqrt (5) or -2 sqrt(5)/5. The tangent is 1/-2 and the cotangent is -2/1
It happens to occur at 153.43 degrees.

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