Unit Circle and Trigonometric Functions

The video tutorial covers the unit circle, explaining its significance and how to use it for trigonometric calculations. It discusses sine and cosine functions, techniques for memorizing angles, and practical problem-solving using trigonometry. The tutorial also introduces the SOHCAHTOA acronym for understanding trigonometric functions in right triangles.

What is the primary purpose of the unit circle in trigonometry?

• To visualize trigonometric functions

• To measure angles in degrees

• To find the circumference of a circle

• To calculate the area of a circle

What are the sine and cosine values for π/4 on the unit circle?

• √3/2 and 1/2

• 0 and 1

• √2/2 and √2/2

• 1/2 and √3/2

Why is the unit circle called 'unit'?

• Because it is divided into units

• Because it is a standard measurement

• Because it is used for unit conversions

• Because it has a radius of 1

How can you find the cosine of 7π/4 using the unit circle?

• By locating 7π/4 on the unit circle

• By drawing a 45-45-90 triangle

• By using a calculator

• By converting to degrees

What pattern do the angles on the unit circle follow?

• They increase by 60 degrees

• They increase by 45 degrees

• They increase by 30 degrees

• They increase by 15 degrees

What is the sine value for 240 degrees on the unit circle?

• √3/2

• -√3/2

• -1/2

• 1/2

What does the acronym 'SOHCAHTOA' help you remember?

• The order of operations

• The relationships in a right triangle

• The properties of circles

• The types of angles

In a right triangle, what is the sine of an angle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Adjacent over opposite

How do you calculate the height of a kite using trigonometry?

• By using the cosine of the angle with the ground

• By using the sine of the angle with the ground

• By using the tangent of the angle with the ground

• By measuring the string length