Exploring the Unit Circle: Notes and Practice

The video tutorial covers the unit circle, focusing on pi over six and pi. It explains how to calculate cosine, sine, and tangent, including rationalizing denominators. The tutorial also discusses reciprocal trigonometric functions like secant, cosecant, and cotangent, and explores trigonometric values at pi, highlighting undefined values.

What is the cosine of pi over six?

• 1/2

• sqrt(3)/2

• sqrt(2)/2

• 0

What is the sine of pi over six?

• 1/2

• sqrt(2)/2

• sqrt(3)/2

• 0

How do you handle division by a fraction in tangent calculations?

• Flip and multiply

• Subtract and divide

• Add and multiply

• None of the above

What is the result of rationalizing the denominator of 1/sqrt(3)?

• sqrt(3)/3

• sqrt(3)/3

• 2/sqrt(3)

• 1/3

What is the value of the sine for pi over six?

• 0

• 1/2

• sqrt(3)/2

• sqrt(2)/2

What is the value of the cosine for pi over six?

• 0

• sqrt(2)/2

• sqrt(3)/2

• 1/2

What happens when you rationalize the denominator of 1/sqrt(3)?

• sqrt(3)/3

• 2/sqrt(3)

• sqrt(3)/3

• 1/3

What is the cosecant of pi?

• Undefined

• 1

• 0

• -1

What is the secant of pi?

• -1

• 0

• 1

• Undefined

What is the tangent of pi?

• 0

• Undefined

• -1

• 1