How to evaluate the inverse of trigonometric functions with unit circle

The video tutorial covers inverse trigonometric functions, focusing on cosine and tangent. It explains how to rewrite trigonometric equations using inverse functions and the importance of understanding the unit circle to find angles. The tutorial also discusses the range of cosine and tangent functions and how to determine angles using inverse tangent and coterminal angles.

What is another way to express inverse cosine?

• Arc sine

• Arc cosine

• Cosine with a positive exponent

• Sine with a negative exponent

Why do we use the inverse tangent function?

• To find the sine of an angle

• To determine the cosine of an angle

• To calculate the hypotenuse of a triangle

• To find the angle when tangent is known

On the unit circle, what does the cosine of an angle represent?

• The angle in degrees

• The X coordinate

• The radius

• The Y coordinate

What is the range for the inverse cosine function?

• -π/2 to π/2

• 0 to π

• 0 to 2π

• -π to π

When is the tangent of an angle equal to zero on the unit circle?

• When the Y coordinate is zero

• When the X coordinate is zero

• When both coordinates are zero

• When the angle is 90 degrees

What is the range for the inverse tangent function?

• 0 to π

• -π/2 to π/2

• 0 to 2π

• -π to π

How do you determine if an angle is within the range for inverse tangent?

• Check if it is between 0 and 2π

• Check if it is between 0 and π

• Check if it is between -π/2 and π/2

• Check if it is between -π and π

What is a coterminal angle?

• An angle that is exactly 90 degrees

• An angle that shares the same initial and terminal sides

• An angle that is less than 45 degrees

• An angle that is more than 180 degrees

How can you adjust an angle to fit within a specified range?

• Add 2π to the angle

• Subtract 2π from the angle

• Multiply the angle by 2

• Divide the angle by 2

What is the angle when tangent equals -1 in the specified range?

• 3π/4

• π/4

• -π/4

• -3π/4