Evaluating the six trig functions for an angle in sixths

The video tutorial covers evaluating six trigonometric functions using the unit circle. It begins with sketching angles and identifying points on the unit circle, followed by determining coordinate points in different quadrants. The tutorial then explains how to calculate sine, cosine, and tangent values, highlighting common mistakes. It concludes with a discussion on reciprocal trigonometric functions, including cosecant, secant, and cotangent, and provides guidance on rationalizing denominators.

What is the coordinate point in the third quadrant that is a reflection of the point (sqrt(3)/2, 1/2) in the first quadrant?

• (1/2, -sqrt(3)/2)

• (sqrt(3)/2, -1/2)

• (-1/2, sqrt(3)/2)

• (-sqrt(3)/2, -1/2)

Which trigonometric function is represented by the Y-coordinate where the angle crosses the unit circle?

• Tangent

• Cosine

• Sine

• Secant

What is the result of dividing a negative number by another negative number when evaluating tangent?

• Positive

• Zero

• Negative

• Undefined

What is the reciprocal function of sine called?

• Secant

• Cosecant

• Cotangent

• Tangent

How do you rationalize the denominator of the expression 2/sqrt(3)?

• Multiply by 2/sqrt(3)

• Multiply by 1/sqrt(3)

• Multiply by sqrt(3)/sqrt(3)

• Multiply by sqrt(3)/2