Trigonometric Functions and Unit Circle

This video tutorial covers special right triangles, specifically 30-60-90 and 45-45-90 triangles, and their relationship to the unit circle. It explains how to calculate cosine, sine, and tangent values for these triangles and how these values relate to the unit circle. The video also discusses rationalizing denominators and provides guidance on filling in the unit circle with trigonometric values. The tutorial concludes with a review of the key concepts and encourages viewers to practice filling in the unit circle.

What is the relationship between special right triangles and the unit circle?

• They are unrelated to trigonometry.

• They are used to calculate angles in radians.

• They help in understanding trigonometric functions.

• They have no relationship.

In a 30-60-90 triangle, what is the length of the side opposite the 30-degree angle?

• 2

• √3

• 1/2

• 1

What is the radius of the unit circle?

• 0

• 1

• √2

• 2

How is the tangent of an angle calculated in terms of sine and cosine?

• cosine divided by sine

• sine plus cosine

• cosine minus sine

• sine divided by cosine

In a 45-45-90 triangle, what is the length of the hypotenuse if the legs are 1?

• 1

• 2

• √2

• 1/2

What is the cosine of 30 degrees?

• 1

• √2/2

• √3/2

• 1/2

What is the sine of 30 degrees?

• 1/2

• √3/2

• 1

• √2/2

What is the tangent of 30 degrees?

• 1

• √3/3

• 1/√3

• √3

What is the cosine of 45 degrees?

• 1

• 1/2

• √3/2

• √2/2

What is the sine of 45 degrees?

• 1

• √2/2

• √3/2

• 1/2