Find the Exact Value cot(495)

Problem

cot(495)

Solution

1. Find the coterminal angle within the range [0,360) by subtracting 360 from the given angle.

495−360=135

2. Identify the quadrant for 135 Since 90<135<180 the angle lies in Quadrant II.

3. Determine the reference angle by subtracting the angle from 180

180−135=45

4. Apply the sign for the cotangent function in Quadrant II. In this quadrant, tangent and cotangent are negative.

cot(135)=−cot(45)

5. Evaluate the exact value using the known value for cot(45)=1

−cot(45)=−1

Final Answer

cot(495)=−1

Want more problems? Check here!