Evaluate the Inverse Tan of Negative One

The video tutorial explains how to find the inverse tangent of -1 by using the unit circle and understanding the tangent function. It covers the key angles on the unit circle, how to identify angles that produce a tangent of 1, and the restrictions for inverse tangent values. The tutorial concludes by addressing common mistakes students make, such as choosing angles outside the allowed range.

What is the first step in finding the inverse tangent of -1?

• Find the cosine of -1

• Check if -1 is part of the unit circle

• Directly calculate using a calculator

• Use the sine function

Which of the following angles on the unit circle produces a tangent of 1?

• π/6

• π/4

• π/3

• π/2

What is the negative version of the angle that produces a tangent of 1?

• -π/6

• -π/3

• -π/4

• -π/2

What is the range of the inverse tangent function?

• 0 to π

• -π/2 to π/2

• -π to π

• 0 to 2π

Why can't 5π/4 be the angle for the inverse tangent of -1?

• It is outside the range of the inverse tangent function

• It is greater than π

• It does not produce a tangent of -1

• It is not a valid angle on the unit circle