Find the Exact Value tan(600)

Problem

tan(600)

Solution

1. Find the coterminal angle by subtracting multiples of 360 until the angle is between 0 and 360

600−360=240

2. Identify the quadrant for 240 Since 180<240<270 the angle lies in Quadrant III.

3. Determine the reference angle for an angle in Quadrant III using the formula (θ_ref)=θ−180

240−180=60

4. Determine the sign of the tangent function in Quadrant III. In Quadrant III, tangent is positive.

tan(600)=tan(60)

5. Evaluate the exact value using the known trigonometric values for 60

tan(60)=√(,3)

Final Answer

tan(600)=√(,3)

Want more problems? Check here!