Trigonometric Values and Inverses

The video tutorial explains how to evaluate inverse trigonometric expressions, specifically focusing on arc cosine. It covers the process of finding angles from given trigonometric values within specific intervals using the unit circle. Three examples are provided: arc cosine of √3/2, arc cosine of 1, and arc cosine of -2. The tutorial also demonstrates how to verify results using a graphing calculator.

What is the primary goal when evaluating inverse trigonometric expressions?

• Finding the sine value of an angle

• Determining the tangent of a given angle

• Finding an angle from a given trigonometric value

• Calculating the secant of an angle

What is the range of angles for the inverse cosine function?

• -π to π radians

• 0 to π radians

• 0 to 2π radians

• -π/2 to π/2 radians

Which quadrant(s) are considered when finding an angle with a cosine value of √3/2?

• First and second quadrants

• Second and third quadrants

• First and fourth quadrants

• Third and fourth quadrants

What is the angle in radians for a cosine value of √3/2?

• π/4 radians

• π/6 radians

• π/3 radians

• π/2 radians

How can you verify the angle for a cosine value of √3/2 using a calculator?

• By checking in radian mode

• By checking in degree mode

• By using the sine function

• By using the tangent function

What is the angle in radians for a cosine value of 1?

• 2π radians

• π/2 radians

• π radians

• 0 radians

Where on the unit circle is the cosine value of 1 located?

• At 270°

• At 90°

• At 180°

• At 0°

What is the angle in radians for a cosine value of -1/2?

• 5π/6 radians

• π/6 radians

• 2π/3 radians

• π/3 radians

In which quadrant is the angle with a cosine value of -1/2 located?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant

How can you verify the angle for a cosine value of -1/2 using a calculator?

• By checking in radian mode

• By using the sine function

• By checking in degree mode

• By using the tangent function