Evaluate the six trigonometric functions for the given real number

The video tutorial explains how to evaluate six trigonometric functions for angles like 7π/4. It begins with an introduction to the unit circle, followed by a detailed explanation of how to locate specific points on it. The tutorial also references a previous example involving the angle 5π/4, providing a comprehensive understanding of trigonometric evaluations using the unit circle.

What is the first step in evaluating trigonometric functions for an angle like 7π/4?

• Identify the angle on the unit circle

• Use a calculator to find the sine value

• Memorize the trigonometric table

• Convert the angle to degrees

What is the purpose of the unit circle in trigonometry?

• To calculate the area of a circle

• To determine the position of angles

• To solve quadratic equations

• To convert radians to degrees

How can you determine where an angle like 7π/4 is located on the unit circle?

• By plotting it on the unit circle

• By using a compass

• By using a protractor

• By converting it to a fraction

Why is it important to know the position of an angle on the unit circle?

• To calculate the diameter

• To measure the angle in degrees

• To determine the trigonometric values

• To find the circumference of the circle

What was the previously evaluated angle mentioned in the video?

• 5π/4

• 3π/4

• 2π

• π/2