Trigonometric Functions and Angles

The video tutorial explains how to determine the exact trigonometric function values for -150 degrees using reference triangles. It covers sketching the angle in standard position, forming a reference triangle, and calculating all six trigonometric functions: sine, cosine, secant, cosecant, tangent, and cotangent. The tutorial also demonstrates how to rationalize denominators when necessary.

What is the first step in determining trigonometric function values for -150 degrees?

• Sketch the angle in standard position.

• Find the cosine value using a calculator.

• Determine the tangent value first.

• Calculate the sine value directly.

When sketching -150 degrees, in which direction do you rotate from the positive x-axis?

• Upwards

• Counterclockwise

• Downwards

• Clockwise

What is the reference angle for -150 degrees?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

In which quadrant is the terminal side of -150 degrees located?

• Quadrant I

• Quadrant III

• Quadrant II

• Quadrant IV

What is the sine value of -150 degrees?

• -1/2

• √3/2

• 1/2

• -√3/2

How do you find the secant value from the cosine value?

• Take the reciprocal

• Multiply by 2

• Subtract 1

• Add 1

What is the cosecant value of -150 degrees?

• -2

• 2

• 1/2

• -1/2

What is the tangent value of -150 degrees after rationalizing the denominator?

• √3/3

• -1/√3

• 1/√3

• -√3/3

What is the cotangent value of -150 degrees?

• -1/√3

• 1/√3

• -√3

• √3

Why might you need to rationalize the denominator in trigonometric calculations?

• To make calculations easier

• To follow mathematical conventions

• To change the angle

• To simplify the numerator