Simplify 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 trigonometric identity.

cot(π/2)=cos(π/2)/sin(π/2)

3. Evaluate the cosine and sine values for the angle π/2 using the unit circle.

cos(π/2)=0

sin(π/2)=1

4. Simplify the resulting fraction.

0/1=0

Final Answer

cot(π/2)=0

Want more problems? Check here!