Trigonometric Functions and the Unit Circle

This video tutorial explains how to find exact trigonometric function values for theta equals 11/4 pi radians using the unit circle. It covers the determination of the terminal side of the angle, calculation of sine, cosine, and tangent values, and finding the reciprocal trigonometric functions: secant, cosecant, and cotangent. The tutorial includes step-by-step instructions and rationalization of denominators for precise results.

What is the primary method used in the video to find exact trigonometric function values?

• Using a graphing tool

• Using the unit circle

• Using a calculator

• Using a protractor

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

• Origin

• z-coordinate

• x-coordinate

• y-coordinate

How many radians are in one complete rotation around the unit circle?

• Four pi radians

• Pi radians

• Two pi radians

• Half pi radians

What is the coterminal angle of 11/4 pi radians?

• 3/4 pi radians

• Pi/4 radians

• Pi/2 radians

• 2 pi radians

What is the sine value of 11/4 pi radians?

• Negative square root of 2 divided by 2

• Zero

• Square root of 2 divided by 2

• One

What is the cosine value of 11/4 pi radians?

• Zero

• Negative square root of 2 divided by 2

• Square root of 2 divided by 2

• One

What is the tangent value of 11/4 pi radians?

• Undefined

• Negative one

• One

• Zero

What is the secant value of 11/4 pi radians after rationalizing the denominator?

• Square root of 2

• Negative square root of 2

• Negative two

• Two

What is the cosecant value of 11/4 pi radians after rationalizing the denominator?

• Two

• Square root of 2

• Negative two

• Negative square root of 2

What is the cotangent value of 11/4 pi radians?

• Zero

• One

• Negative one

• Undefined