Answer:
-1
Explanation:
Use a unit circle to find "exact" values.
On the unit circle, first find your angle, 7pi/4. Its a big angle, 315° that's trivia right now though.
Then look at the coordinates of the point at 7pi/4. They are:
(root/2, -root2/2) See image.
sin is the y coordinate. cos is the x coordinate. tangent is y/x.
cotangent is the reciprocal of tangent. This means to find cotangent, flip over tangent.
cotangent is x/y.
cot 7pi/4 =
(root2/2)over(-root2/2)
= -1