Trigonometric Functions and Unit Circle

The video tutorial explains how to find angles with the same trigonometric function values using the unit circle. It covers cosine, sine, and tangent functions, demonstrating how to identify angles with equivalent values by examining coordinates on the unit circle. The tutorial provides examples for each function, highlighting the importance of understanding quadrants and coordinate signs.

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

• To find the length of a circle's radius

• To calculate the area of a circle

• To measure the circumference of a circle

• To determine angles with the same trigonometric function values

Which coordinate on the unit circle represents the cosine of an angle?

• The y-coordinate

• The origin

• The z-coordinate

• The x-coordinate

What is the cosine of 150 degrees?

• 1/2

• Square root of 3 over 2

• Negative 1/2

• Negative square root of 3 over 2

Which angle has the same cosine value as 150 degrees?

• 330 degrees

• 90 degrees

• 30 degrees

• 210 degrees

What is the sine of 45 degrees?

• Negative square root of 2 over 2

• 1

• 0

• Square root of 2 over 2

Which angle has the same sine value as 45 degrees?

• 90 degrees

• 135 degrees

• 225 degrees

• 315 degrees

How is tangent calculated on the unit circle?

• x divided by y

• y divided by x

• x plus y

• x minus y

What is the tangent of 60 degrees?

• Square root of 3 over 2

• 1/2

• Square root of 3

• 1

Which angle has the same tangent value as 60 degrees?

• 120 degrees

• 240 degrees

• 300 degrees

• 180 degrees

In which quadrants are both x and y coordinates negative?

• First and second

• Second and third

• First and fourth

• Third and fourth