Periodic Functions

Which of following functions can be considerd periodic functions?

• Polynomial functions (constant, quadratic, cubic... functions)

• Rational functions (fractional function)

• Radical Function

• Trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent)

• Exponential functions

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which of the following is a characteristic of a periodic function?

• It has a constant rate of change.

• It repeats its values at regular intervals.

• It has a variable rate of change.

• It is always increasing or decreasing.

Tags

CCSS.HSF.TF.A.4

Which of the following trigonometric functions is not periodic?

• Sine function

• Cosine function

• Tangent function

• None of the above

Tags

CCSS.HSF.TF.A.4

Which of the following functions is equivalent to cot(-5π/2)

• 1/tan(π)

• 1/tan(2π)

• 1/tan(π/2)

• 1/tan(4π)

Tags

CCSS.HSF.TF.A.2

Which of the following functions is equivalent to cot(5π/2)

• cot(π)

• 1/tan(2π)

• 1/tan(-π/2)

• 1/tan(π/2)

• cot(π/2)

Tags

CCSS.HSF.TF.A.2

Which the followings is equivalent to the function, sin(15°)?

• Sin(405⁰)

• Sin(-305⁰)

• Sin(345⁰)

• Sin(-345⁰)

• Sin(385⁰)

Tags

CCSS.HSF.TF.C.9

Which the followings is equivalent to the function, sec(15°)?

• 1/sin(405⁰)

• 1/sin(-305⁰)

• Sec(345⁰)

• 1/cos(-345⁰)

• 1/csc(385⁰)

Tags

CCSS.HSF.TF.C.9

Which the followings is equivalent to the function, sin(25°)?

• Sin(405⁰)

• Sin(-305⁰)

• Sin(345⁰)

• Sin(-345⁰)

• Sin(385⁰)

Tags

CCSS.HSF.TF.C.9

Which the followings is equivalent to the function, csc(55°)?

• 1./sin(405⁰)

• 1/sin(-305⁰)

• 1/sin(345⁰)

• 1/sin(-345⁰)

• 1/sin(385⁰)

Tags

CCSS.HSF.TF.C.9

A _________ function is one that has a pattern that repeats itself over and over again.

• reflected
• periodic
• translated
• stretch-shrink

Tags

CCSS.HSF.TF.A.4