Evaluate the six trigonometric functions for the given real number

The video tutorial explains how to use the unit circle to measure angles, focusing on negative direction and coterminal angles. It covers the concept of reference angles and demonstrates how to evaluate six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. The tutorial includes rationalizing denominators and understanding coordinate points in different quadrants.

What is the process to find a coterminal angle?

• Subtracting periods of π

• Dividing by π

• Adding periods of 2π

• Multiplying by 2π

In which quadrant is the angle located if it is in the negative direction and has a reference angle of π/6?

• Fourth quadrant

• Second quadrant

• Third quadrant

• First quadrant

What is the Y-coordinate of the point where the angle intersects the unit circle in the fourth quadrant?

• 1/2

• -1/2

• sqrt(3)/2

• -sqrt(3)/2

How do you rationalize the denominator of a fraction like -1/sqrt(3)?

• Multiply by sqrt(3)/sqrt(3)

• Add sqrt(3) to the numerator

• Subtract sqrt(3) from the denominator

• Divide by sqrt(3)

What is the value of the secant function for the angle in the fourth quadrant?

• sqrt(3)/2

• 2/sqrt(3)

• 2

• 1/2