Final answer:
The exact value of cot(-π/2) does not exist since the cotangent function is undefined at -π/2.
Step-by-step explanation:
The cotangent function is the reciprocal of the tangent function. In this case, we need to find the value of cot(-π/2). The cotangent function is undefined at -π/2 since the tangent function is undefined at ±π/2. Hence, the exact value of cot(-π/2) does not exist.