Find the Exact Value tan(960)

Problem

tan(960)

Solution

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

960−2*(360)=960−720

960−720=240

2. Determine the quadrant of the angle 240 Since 180<240<270 the angle lies in Quadrant III.

3. Find 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(240)=tan(60)

5. Evaluate the tangent of the reference angle using known trigonometric values.

tan(60)=√(,3)

Final Answer

tan(960)=√(,3)

Want more problems? Check here!