Evaluate the tangent inverse without a calculator

The video tutorial explains the concept of tangent inverse and its relation to coordinates. It discusses graphing points in different quadrants and explores angles and their restrictions using the unit circle. The tutorial also covers the use of coterminal angles to fit specific restrictions, providing a comprehensive understanding of these mathematical concepts.

What is the inverse tangent of -1 in terms of unit circle coordinates?

• (-√2/2, √2/2) and (√2/2, -√2/2)

• (1/2, √3/2) and (√3/2, 1/2)

• (0, 1) and (1, 0)

• (-1, 0) and (0, -1)

Which of the following angles is NOT within the restriction of -π/2 to π/2?

• 3π/4

• -π/4

• -π/3

• π/6

Why do the angles 3π/4 and 7π/4 not fit the given restrictions?

• They are both less than -π/2

• They are both greater than π/2

• They are both equal to π

• They are both between -π/2 and π/2

What is a coterminal angle of 7π/4 that fits within the restriction of -π/2 to π/2?

• π/4

• -π/4

• π/2

• -π/2

When might you need to use a coterminal angle to solve a problem?

• When the original angle is exactly π

• When the original angle is outside the given restrictions

• When the original angle is zero

• When the original angle is a multiple of π