Trigonometric Functions and Angles

The video tutorial explains how to evaluate expressions using reference triangles, specifically the 30-60-90 and 45-45-90 triangles. It covers the evaluation of cosine of inverse sine, sine of inverse cosine, tangent of inverse cosine, and sine of inverse tangent. The tutorial emphasizes the importance of recognizing trigonometric values and angles, and how to simplify expressions using these reference triangles.

What is the significance of using reference triangles in evaluating trigonometric expressions?

• They are used only for negative inputs.

• They help in visualizing angles in different quadrants.

• They simplify complex algebraic expressions.

• They provide exact values for trigonometric functions.

Which angle corresponds to the inverse sine of square root three divided by two?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the cosine of 60 degrees in terms of the sides of a 30-60-90 triangle?

• Square root 3 divided by 2

• Square root 2 divided by 2

• 1 divided by 2

• 1 divided by square root 2

Which angle has a cosine function value of one-half?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the sine of 60 degrees in a 30-60-90 triangle?

• Square root 2 divided by 2

• Square root 3 divided by 2

• 1 divided by 2

• 1 divided by square root 3

What is the angle for inverse cosine of square root two divided by two?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the tangent of 45 degrees in a 45-45-90 triangle?

• Square root 3

• 1

• Square root 2

• 1 divided by square root 3

Which angle corresponds to the inverse tangent of square root three divided by three?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the sine of 30 degrees in a 30-60-90 triangle?

• 1 divided by 2

• Square root 3 divided by 2

• Square root 2 divided by 2

• 1 divided by square root 3

What is the process of rationalizing the numerator used for in trigonometry?

• To simplify the expression

• To change the sign of the angle

• To find exact angle values

• To convert angles to radians