Learn How to Find the Angle Given the Inverse Cosine of a Value

The video tutorial explains the concept of inverse cosine, focusing on how to find the angle whose cosine is a given value. It discusses the importance of domain restrictions for the cosine function to ensure it remains a function when inverted. The unit circle is used to visualize and calculate angles, emphasizing the need to verify that these angles fall within the specified constraints. The tutorial concludes with a summary of the key points covered.

What is the inverse function used to find the angle whose cosine is a specific value?

• Sine inverse

• Secant inverse

• Cosine inverse

• Tangent inverse

What is the domain restriction for the cosine function when finding its inverse?

• -π/2 to π/2

• 0 to 2π

• 0 to π

• -π to π

Why is there a restriction on the domain of the cosine function when finding its inverse?

• To ensure the function is one-to-one

• To make the function continuous

• To simplify calculations

• To avoid negative values

Which angle in radians corresponds to a cosine value of -√2/2 within the restricted domain?

• 3π/4

• 7π/4

• π/4

• 5π/4

How can you verify the angle found using the unit circle?

• By using a calculator

• By converting to degrees and checking

• By checking the sine value

• By drawing a tangent line