Trigonometric Concepts and Applications

The video tutorial covers the unit circle, explaining its properties and applications in trigonometry. It discusses coterminal and reference angles, and how sine and cosine values vary across quadrants. The tutorial uses the unit circle for calculations and explores reference angles and quadrants. It also delves into using triangles to find trigonometric functions, including advanced calculations and real-world applications.

What is the radius of the unit circle?

• 1 unit

• 2 units

• 0.5 units

• 3 units

Which of the following is a coterminal angle of 120 degrees?

• 480 degrees

• 360 degrees

• 240 degrees

• 600 degrees

What is the reference angle for 120 degrees?

• 45 degrees

• 30 degrees

• 60 degrees

• 90 degrees

In which quadrant is sine positive and cosine negative?

• Quadrant II

• Quadrant III

• Quadrant IV

• Quadrant I

What is the sine of 60 degrees?

• 1/2

• 1

• √3/2

• √2/2

What is the cosine of 180 degrees?

• √2/2

• -1

• 1

• 0

What is the reference angle for 240 degrees?

• 60 degrees

• 90 degrees

• 30 degrees

• 45 degrees

If cosine of T is 2/9 and T is in the first quadrant, what is sine of T?

• √77/9

• √77/81

• 2/√77

• 9/√77

What are the coordinates of a point on a circle with radius 20 and angle 120 degrees?

• (-10, 10√3)

• (10, -10√3)

• (-20, 20√3)

• (20, -20√3)

What are the coordinates of the child after 90 seconds on a carousel that takes one minute to revolve once?

• (0, -1)

• (-1, 0)

• (0, 1)

• (1, 0)