Cotangent of ∞ is not π/2. It's actually nonexistent since cotangent is the continually oscillating function.
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It is still infinity.
Cotangent is a trigonometric function. It is the reciprocal of the tangent.
One plus cosecant squared x is equal to cotangent squared x.
both are equal... infinity is the representation of undefined.
The cotangent of 60 degrees is 1\(3^1\2).