cot[x]= -1
cot[x] = cos[x] / sin[x]
cos[x] / sin[x] = -1
cos[x] = -sin[x]
|cos[x]| = |sin[x]| at every multiple of Pi/4 + Pi/2. However, the signs disagree at 3Pi/4 + nPi, where n is an integer.
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1/(tangent of angle)
1 + cot2x = csc2x
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
Cotangent(0.675 radians) = 84.88 approx.
The cotangent of 510 degrees is: -1.73205081