How to evaluate the composition of inverse functions

The video tutorial explains the concept of inverse operations using basic arithmetic examples, such as subtracting to undo addition. It then applies this understanding to trigonometric functions, specifically arcsine and sine, which undo each other. The tutorial addresses a problem involving arcsine of sine of 5π/3, highlighting the importance of ensuring results fall within the correct range. To resolve this, the concept of coterminal angles is introduced, demonstrating how to adjust angles to fit within the required range.

What is the purpose of inverse operations in mathematics?

• To make equations longer

• To undo the effect of another operation

• To change the variables in an equation

• To add complexity to equations

What happens when you apply arcsine to sine of an angle?

• The angle is doubled

• The angle is halved

• The operations cancel each other out

• The angle is squared

Why can't the result of arcsine(sine(5π/3)) be 5π/3?

• Because 5π/3 is not within the range of arcsine

• Because 5π/3 is not a real number

• Because 5π/3 is not an angle

• Because 5π/3 is too large

What is the range of the arcsine function?

• 0 to 2π

• -π to π

• 0 to π

• -π/2 to π/2

How do you find a coterminal angle for 5π/3?

• Add π

• Subtract 2π

• Subtract π

• Add 2π