Find the Exact Value cot(90 degrees )

Problem

cot(90)

Solution

1. Identify the trigonometric identity for the cotangent function in terms of sine and cosine.

cot(θ)=cos(θ)/sin(θ)

2. Substitute the given angle 90 into the identity.

cot(90)=cos(90)/sin(90)

3. Evaluate the cosine and sine values for 90 using the unit circle.

cos(90)=0

sin(90)=1

4. Simplify the fraction to find the final result.

cot(90)=0/1

cot(90)=0

Final Answer

cot(90)=0

Want more problems? Check here!