Evaluating the six trigonometric functions for a given angle on the unit circle

The video tutorial explains the π/6 angle on the unit circle, equivalent to 30 degrees, and its coordinates (sqrt 3/2, 1/2). It covers basic trigonometric functions: sine, cosine, and tangent, and their calculations. The tutorial also delves into reciprocal trigonometric functions: cosecant, secant, and cotangent, demonstrating how to rationalize denominators and perform calculations.

What is the angle π/6 equivalent to in degrees?

• 45 degrees

• 15 degrees

• 60 degrees

• 30 degrees

What is the sine of the angle π/6?

• sqrt 3 / 2

• 1/2

• 1

• 0

How do you calculate the tangent of an angle using its coordinates on the unit circle?

• X+Y

• Y/X

• X/Y

• X*Y

What is the cosecant of the angle π/6?

• 1

• 2

• sqrt 3

• 1/2

How do you rationalize the denominator of a fraction?

• Multiply by the reciprocal of the denominator

• Add the numerator and denominator

• Multiply by the numerator

• Subtract the denominator from the numerator