Trigonometric Functions and Unit Circle

The video tutorial introduces the unit circle, explaining its significance in trigonometry. It covers the 30-60-90, 45-45-90, and 60-30-90 triangles, detailing how to find coordinates on the unit circle. The tutorial demonstrates using the unit circle to determine sine, cosine, and tangent values, providing examples and practice problems. It also explains tangent ratios and offers tricks for easier calculation. The session concludes with a summary and guidance for further learning.

Why is the circle referred to as a 'unit circle'?

• Because it is used in unit conversions.

• Because it is used in unit tests.

• Because its radius is equal to one unit.

• Because it is a unique circle.

What are the coordinates of the point at 30 degrees on the unit circle?

• (0, 1)

• (1, 0)

• (√3/2, 1/2)

• (1/2, √3/2)

What is the relationship of the sides in a 30-60-90 triangle?

• 1, √3, 2

• 1, 1, 2

• 1, 1, √2

• 1, 2, √3

What are the coordinates of the point at 45 degrees on the unit circle?

• (1, 0)

• (√2/2, √2/2)

• (1/2, √3/2)

• (√3/2, 1/2)

What is the relationship of the sides in a 45-45-90 triangle?

• 1, 1, √2

• 1, 1, 2

• 1, √3, 2

• 1, 2, √3

What are the coordinates of the point at 60 degrees on the unit circle?

• (1/2, √3/2)

• (√3/2, 1/2)

• (1, 0)

• (0, 1)

What is the relationship of the sides in a 60-30-90 triangle?

• 1, 1, √2

• 1, √3, 2

• 1, 2, √3

• 1, 1, 2

What is the sine of 0 degrees?

• 1/2

• √2/2

• 0

• 1

What is the cosine of 60 degrees?

• 1

• 0

• √3/2

• 1/2

What is the tangent of 45 degrees?

• 0

• 1

• 1/2

• √3