Inverse Trigonometric Functions Concepts

The video tutorial covers the evaluation of inverse trigonometric functions, focusing on inverse sine, cosine, and tangent. It explains the range and domain of these functions, how to determine the correct angle based on the given value, and provides examples to illustrate the concepts. The tutorial emphasizes the importance of understanding the unit circle and the quadrants in which these functions exist.

What is the range of the inverse sine function?

• -π to π

• 0 to 2π

• -π/2 to π/2

• 0 to π

In which quadrants does the inverse sine function exist?

• Quadrants 3 and 4

• Quadrants 1 and 4

• Quadrants 2 and 3

• Quadrants 1 and 2

What is the inverse sine of √3/2?

• π/4

• π/3

• π/6

• π/2

Which angle is a valid solution for arc sine of -1/2?

• 150°

• 210°

• 330°

• -30°

What is the range of the inverse cosine function?

• 0 to π

• -π/2 to π/2

• 0 to 2π

• -π to π

In which quadrants does the inverse cosine function exist?

• Quadrants 1 and 2

• Quadrants 2 and 3

• Quadrants 3 and 4

• Quadrants 1 and 4

What is the inverse cosine of -√3/2?

• π/4

• π/3

• π/2

• 5π/6

What is the range of the inverse tangent function?

• 0 to π

• -π/2 to π/2

• 0 to 2π

• -π to π

What is the inverse tangent of √3?

• π/6

• π/3

• π/4

• π/2

What is the result of arc sine of sine π/3?

• π/3

• π/4

• π/2

• π/6