Trigonometric Functions and Identities

This video tutorial covers trigonometric functions in Algebra 2, including radians and degrees, primary and reciprocal trig functions, special triangles, and exact values. It also explores trigonometric identities, the unit circle, inverse functions, and graphing trig functions. The tutorial emphasizes memorization of key concepts and provides examples to illustrate the relationships between angles, sides, and functions.

What is the final function family discussed in Algebra 2?

• Logarithmic functions

• Exponential functions

• Polynomial functions

• Trigonometric functions

How do you convert degrees to radians?

• Multiply by 180/pi

• Multiply by pi/180

• Add 180

• Subtract pi

Which of the following is NOT a primary trigonometric function?

• Sine

• Cosine

• Tangent

• Secant

What is the reciprocal of sine?

• Secant

• Cosecant

• Cotangent

• Tangent

In a right triangle, what is the hypotenuse?

• The side adjacent to the right angle

• The side opposite the right angle

• The longest side

• The shortest side

What are the angles in a special triangle?

• None of the above

• Both A and B

• 45°, 45°, 90°

• 30°, 60°, 90°

Which identity is true for tangent?

• tan(θ) = sin(θ)/cos(θ)

• tan(θ) = cos(θ)/sin(θ)

• tan(θ) = 1/sin(θ)

• tan(θ) = 1/cos(θ)

What is the radius of a unit circle?

• 0

• π

• 2

• 1

What is the inverse function of sine called?

• Arc sine

• Arc cosine

• Arc tangent

• Arc secant

What does the amplitude of a trigonometric function represent?

• The vertical shift

• The horizontal shift

• The maximum value

• Half the distance between the max and min values