Trigonometric Functions and Angles

The video tutorial explains how to determine exact trigonometric function values using the unit circle. It covers sketching angles in standard position and finding cosine and sine values for specific angles like 150 degrees and -240 degrees. The tutorial also discusses the concept of coterminal angles and how they can be used to find equivalent trigonometric values.

What is the relationship between the x-coordinate on the unit circle and trigonometric functions?

• It represents the sine of the angle.

• It represents the cotangent of the angle.

• It represents the cosine of the angle.

• It represents the tangent of the angle.

How do you determine the sine value of an angle using the unit circle?

• By finding the y-coordinate of the point.

• By finding the x-coordinate of the point.

• By finding the tangent of the angle.

• By finding the secant of the angle.

What is the cosine of 150 degrees?

• -√3/2

• 1/2

• -1/2

• √3/2

What is the sine of 150 degrees?

• -√3/2

• 1/2

• √3/2

• -1/2

In which direction do you rotate to find the angle of -240 degrees?

• Counterclockwise

• Downwards

• Upwards

• Clockwise

What is the cosine of -240 degrees?

• 1/2

• -1/2

• √3/2

• -√3/2

What is the sine of -240 degrees?

• √3/2

• 1/2

• -√3/2

• -1/2

What is a coterminal angle?

• An angle that is twice the original angle.

• An angle that shares the same terminal side as another angle.

• An angle that is half the original angle.

• An angle that is the negative of the original angle.

How can you find a coterminal angle for -240 degrees?

• Subtract 360 degrees.

• Add 360 degrees.

• Subtract 180 degrees.

• Add 180 degrees.

What is the benefit of using coterminal angles?

• They simplify calculations by reducing the angle.

• They provide a different trigonometric value.

• They change the quadrant of the angle.

• They help in finding angles in radians.