Reference Angles and Tangent Values

This video tutorial covers the evaluation of angles, focusing on reference angles and their roles in determining sine and cosine values. It provides examples of evaluating angles such as 210, 315, 135, and 240 degrees, and discusses special cases like cosine 180 and tangent 90. The tutorial emphasizes understanding the unit circle and quadrant rules for determining the sign of trigonometric functions.

What is the first step in evaluating a given angle?

• Calculate the tangent

• Find the sine value

• Draw the x and y axis

• Determine the reference angle

Where are reference angles located?

• Fourth quadrant

• Second quadrant

• First quadrant

• Third quadrant

What does the x-coordinate represent in trigonometry?

• Sine of the angle

• Cotangent of the angle

• Tangent of the angle

• Cosine of the angle

How do you find the reference angle for an angle in the third quadrant?

• Add 180 to the angle

• Subtract 180 from the angle

• Subtract the angle from 180

• Subtract 90 from the angle

What is the reference angle for 210 degrees?

• 30 degrees

• 90 degrees

• 60 degrees

• 45 degrees

In which quadrant is 315 degrees located?

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant

What is the reference angle for 315 degrees?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the tangent of 135 degrees?

• 0

• -1

• Undefined

• 1

What is the reference angle for 240 degrees?

• 60 degrees

• 30 degrees

• 90 degrees

• 45 degrees

What is the cosine of 180 degrees?

• Undefined

• 0

• -1

• 1