Trigonometric Functions of 210 Degrees

The video tutorial explains how to determine the reference angle and quadrant for an angle of 210 degrees. It demonstrates sketching the angle in standard position, using a reference triangle to find trigonometric function values, and verifying these values with the unit circle. The tutorial also covers rationalizing denominators for tangent and secant functions.

What is the reference angle for theta equals 210 degrees?

• 120 degrees

• 90 degrees

• 60 degrees

• 30 degrees

In which quadrant does the terminal side of 210 degrees lie?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the sine of 210 degrees using the reference triangle?

• -√3/2

• √3/2

• -1/2

• 1/2

What is the cosine of 210 degrees using the reference triangle?

• -√3/2

• √3/2

• -1/2

• 1/2

What is the tangent of 210 degrees using the reference triangle?

• -√3

• √3

• -1/√3

• 1/√3

How do you rationalize the denominator of 1/√3?

• Multiply by 2/2

• Multiply by 1/1

• Multiply by 3/3

• Multiply by √3/√3

What is the secant of 210 degrees after rationalizing the denominator?

• 2√3/3

• -2√3/3

• -√3/2

• √3/2

What is the y-coordinate of the point where the terminal side of 210 degrees intersects the unit circle?

• √3/2

• -√3/2

• -1/2

• 1/2

What is the x-coordinate of the point where the terminal side of 210 degrees intersects the unit circle?

• 1/2

• -1/2

• √3/2

• -√3/2

What is the cotangent of 210 degrees using the unit circle?

• -√3

• -1/√3

• 1/√3

• √3