Trigonometric Functions and Reference Angles

This video tutorial explains how to use reference angles to evaluate trigonometric functions. It covers the calculation of sine, cosine, tangent, and secant for various angles, including 300 degrees, 120 degrees, 7π/6, -135 degrees, 330 degrees, 11π/4, and -4π/3. The tutorial emphasizes the use of special right triangles and the properties of different quadrants to determine the values of these functions.

What is the reference angle for 300 degrees?

• 60 degrees

• 45 degrees

• 90 degrees

• 30 degrees

In which quadrant is the angle 300 degrees located?

• Quadrant II

• Quadrant III

• Quadrant I

• Quadrant IV

What is the value of sine of 300 degrees?

• -1/2

• 1/2

• √3/2

• -√3/2

What is the reference angle for 120 degrees?

• 45 degrees

• 30 degrees

• 90 degrees

• 60 degrees

What is the value of cosine of 120 degrees?

• √3/2

• -√3/2

• 1/2

• -1/2

What is the reference angle for 7π/6?

• π/3

• π/4

• π/6

• π/2

What is the value of tangent of 7π/6?

• -√3

• 1/√3

• √3

• -1/√3

What is the reference angle for -135 degrees?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the value of sine of -135 degrees?

• -1/2

• 1/2

• √2/2

• -√2/2

What is the value of secant of 330 degrees?

• √3/2

• 3/2√3

• 2√3/3

• 2/√3