Find the Exact Value cot(-pi/2)

Problem

cot(−π/2)

Solution

1. Identify the definition of the cotangent function in terms of sine and cosine.

cot(θ)=cos(θ)/sin(θ)

2. Substitute the given angle −π/2 into the definition.

cot(−π/2)=cos(−π/2)/sin(−π/2)

3. Evaluate the cosine of −π/2 using the unit circle or symmetry properties.

cos(−π/2)=0

4. Evaluate the sine of −π/2 using the unit circle or symmetry properties.

sin(−π/2)=−1

5. Simplify the fraction to find the exact value.

0/(−1)=0

Final Answer

cot(−π/2)=0

Want more problems? Check here!