Understanding Inverse Trigonometric Functions

The video tutorial explains how to evaluate inverse trigonometric functions using the unit circle. It covers finding exact values for inverse sine, cosine, and tangent, and discusses the conditions under which certain values do not exist. The tutorial also highlights the importance of understanding the unit circle and the quadrants involved in evaluating these functions.

What is the primary tool needed to evaluate inverse trigonometric functions?

• A protractor

• A calculator

• A ruler

• The unit circle

When finding the inverse sine of -1/2, which quadrant should you consider?

• Quadrant I

• Quadrant IV

• Quadrant II

• Quadrant III

Why does the inverse sine of 2 not exist?

• Because 2 is a negative value

• Because 2 is not on the unit circle

• Because the range of sine is between -1 and 1

• Because 2 is not a valid angle

Which quadrants are used to find inverse cosine values?

• Quadrants III and IV

• Quadrants I and IV

• Quadrants I and II

• Quadrants II and III

What is the x-coordinate value for inverse cosine when it equals π/4?

• 1/2

• √3/2

• √2/2

• 0

What is the relationship between sine and cosine in determining tangent?

• Tangent is the ratio of sine to cosine

• Tangent is the sum of sine and cosine

• Tangent is the product of sine and cosine

• Tangent is the difference between sine and cosine

Where is the arctangent of 0 located on the unit circle?

• At 180 degrees

• At 270 degrees

• At 0 degrees

• At 90 degrees

How do you find where tangent is -1 on the unit circle?

• Where sine and cosine are both positive

• Where sine is positive and cosine is negative

• Where sine and cosine are equal but one is negative

• Where sine is negative and cosine is positive

Which quadrants are used for evaluating inverse sine and tangent?

• Quadrants I and II

• Quadrants III and IV

• Quadrants II and III

• Quadrants I and IV

In which quadrant is cosine negative?

• Quadrant II

• Quadrant III

• Quadrant I

• Quadrant IV