Evaluate inverse trig functions without a calculator

The video tutorial explains how to find the cosine inverse of an angle, focusing on the restrictions of inverse functions. It discusses the unit circle, identifying angles in different quadrants, and the importance of function uniqueness. The tutorial emphasizes that a function must have a unique output for each input, using the vertical line test as a reference. It concludes with a calculator check to verify the angle in degrees.

What is the primary goal when using the cosine inverse function?

• To determine the angle for a given cosine value

• To find the hypotenuse of a triangle

• To find the sine of an angle

• To calculate the tangent of an angle

In which quadrants is the cosine value negative?

• First and fourth quadrants

• Third and fourth quadrants

• Second and third quadrants

• First and second quadrants

Which angle satisfies the cosine restriction for the value -√3/2?

• 11π/6

• 5π/6

• 7π/6

• π/6

Why can't a function have two different outputs for the same input?

• It would make the function linear

• It would simplify the function

• It would make the function continuous

• It would violate the definition of a function

What test is used to determine if a graph represents a function?

• Derivative test

• Vertical line test

• Slope test

• Horizontal line test