Evaluating Inverse Trigonometric Functions

The video tutorial explains the problem of evaluating the inverse cosine of 2. It highlights that the cosine function's range is between 0 and π, and its domain is between -1 and 1. Since 2 is outside this domain, the inverse cosine of 2 is undefined. The tutorial emphasizes understanding the domain and range when dealing with inverse trigonometric functions.

Why can't the cosine of an angle equal 2?

• Because 2 is not a valid angle

• Because cosine values range from -1 to 1

• Because 2 is not on the unit circle

• Because cosine is only defined for angles in radians

What is the range of the inverse cosine function?

• 0 to 2π

• 0 to π

• -π to π

• -1 to 1

What must the domain of the inverse cosine function be?

• -π to π

• -1 to 1

• 0 to 1

• -2 to 2

Why is the inverse cosine of 2 undefined?

• Because 2 is not a real number

• Because 2 is not a valid input for any trigonometric function

• Because 2 is outside the range of cosine values

• Because 2 is not an angle

What happens when you try to evaluate the inverse cosine of a value outside its domain?

• You get a complex number

• The function returns infinity

• The function returns zero

• The function is undefined