Trigonometric Functions and Unit Circle

This video tutorial explains how to determine trigonometric function values using the unit circle. It begins with a recommendation to watch a prior video on reference angles and triangles. The tutorial covers the properties of 30-60-90 and 45-45 right triangles, introduces the unit circle, and explains how to use it to find sine, cosine, and tangent values. It also demonstrates how to calculate advanced trigonometric functions like cosecant, secant, and cotangent using the unit circle.

What is the recommended prerequisite video to watch before this tutorial?

• How to Draw a Unit Circle

• Finding Trig Function Values Using Reference Angles and Triangles

• Introduction to Trigonometry

• Advanced Trigonometric Identities

In a 30-60-90 triangle, if the short leg is 1, what is the length of the hypotenuse?

• 2

• Square root of 2

• Square root of 3

• 1

What is the radius of the unit circle?

• Square root of 2

• 0.5

• 1

• 2

On the unit circle, what does the x-coordinate represent?

• Cosecant of the angle

• Tangent of the angle

• Cosine of the angle

• Sine of the angle

What is the sine of -150 degrees on the unit circle?

• -1/2

• 1/2

• -Square root of 3/2

• Square root of 3/2

How do you find a coterminal angle for 960 degrees?

• Add 360 degrees

• Subtract 360 degrees

• Subtract 720 degrees

• Add 720 degrees

What is the tangent of 180 degrees?

• Undefined

• -1

• 0

• 1

What is the reciprocal of sine theta known as?

• Tangent

• Secant

• Cosecant

• Cotangent

What is the secant of -240 degrees?

• 2

• -2

• -1/2

• 1/2

What is the cotangent of 540 degrees?

• -1

• 0

• Undefined

• 1