Trigonometric Functions and the Unit Circle

The video tutorial explains how to evaluate exact values of trigonometric functions using the unit circle. It covers the sine, cosine, tangent, and secant functions, demonstrating how to find these values by interpreting the unit circle's coordinates. The tutorial also addresses handling negative angles and large radian measures by simplifying them to fit within the unit circle's range.

What is the primary tool used to evaluate exact values of trigonometric functions?

• Unit Circle

• Graphing Calculator

• Trigonometric Identities

• Pythagorean Theorem

Tags

CCSS.HSF.TF.A.2

What is the sine of pi?

• 1

• 0

• -1

• Undefined

Tags

CCSS.HSF.TF.A.2

What is the cosine of 3pi?

• 1

• 0

• -√2/2

• -1

Tags

CCSS.HSF.TF.C.8

How is tangent related to sine and cosine?

• Tangent is cosine divided by sine

• Tangent is the sum of sine and cosine

• Tangent is sine divided by cosine

• Tangent is the product of sine and cosine

Tags

CCSS.HSF.TF.A.2

What is the tangent of negative 121pi over 4?

• Undefined

• 0

• -1

• 1

Tags

CCSS.HSF.TF.A.2

How do you handle a negative angle when using the unit circle?

• Ignore the negative sign

• Double the angle

• Move clockwise around the circle

• Move counterclockwise around the circle

Tags

CCSS.HSF.TF.A.2

What is the value of cosine at 7pi over 4?

• 1

• √2/2

• -1

• -√2/2

Tags

CCSS.HSF.TF.A.2

What is the secant of an angle in terms of cosine?

• Secant is the square root of cosine

• Secant is the square of cosine

• Secant is the reciprocal of cosine

• Secant is the reciprocal of sine

Tags

CCSS.HSF.TF.A.2

What is the secant of 29pi over 6?

• -3/2√3

• -2√3/3

• 3/2√3

• 2√3/3

What is the process to eliminate radicals from the denominator?

• Divide by the radical

• Subtract the radical from the numerator

• Multiply by the radical over itself

• Add the radical to the numerator