Mr Hickman's Class 2020-2021
Mr Hickman does NOT participate in social media!
  • Home
    • VIDEOS 2020-2021
    • Digital Resources: >
      • Digital Resources: Number Line, Lines, and Linear Systems
      • Desmos Library Directory >
        • Desmos: How Do I Library
        • Desmos Coordinate Geometry
        • Algebra Desmos Library
        • Desmos Geometry
        • Desmos: Advanced Algebra
        • Desmos Trigonometry
        • Desmos PreCalculus
        • Desmos: AP Calculus
        • Geometry File Library
      • Geogebra Library Directory
      • TI Nspire Library Directory
      • YOU Tube Library Directory
      • KHAN Academy Library Directory
      • "Other" Websites Library Directory
    • Technology Tutorials >
      • Building a Weebly Page >
        • How to Use a Template page to add pages quickly
      • MS Teams Technology Tutorials
      • MS Whiteboard Technology Tutorials
      • Flip Grid Technology Tutorials
      • One Note Technology Tutorials
      • Small PDF Technology Tutorials
    • About
    • What calculator should I get?
    • SAT Review 2019 >
      • Complex Number Review
  • AP Calculus
    • Optimization (Rectangular Objects)
  • Pre-calculus
    • Quiz 1 Worked Out Solutions
    • Solving Trig Equations
  • Algebra 2
    • Simplification of Rational Expressions M & D
    • Exponent Laws Materials
  • Long Division and Synthetic Division

Cosine Function Graphs


Desmos File: Parent function (degrees) 

Picture
click on lower right corner to use this online graphing calculator
​THIS IS IN DEGREES
  • this is the parent function of cosine functions
  • Period [0,360)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1
Click to set custom HTML

Desmos File: Parent function (radians) 

Picture
click on lower right corner to use this online graphing calculator
​THIS IS IN RADIANS
  • this is the parent function of cosine functions
  • Period [0,2π)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File: 
​y = a cos x

Picture
click on lower right corner to use this online graphing calculator​THIS IS IN DEGREES
  • this is a vertical dilation of the parent cosine function
  • Period [0,360)
  • Range: [-a,a]
  • Midline y = 0
  • Amplitude = a

​Desmos File: 
​y = a cos x

Picture
click on lower right corner to use this online graphing calculator​THIS IS IN RADIANS
  • this is a vertical dilation of the parent cosine function
  • Period [0,2π)
  • Range: [-a,a]
  • Midline y = 0
  • Amplitude = a

 Desmos File:
y= cos​ (bx)

Picture
click on lower right corner to use this online graphing calculator
THIS IS IN DEGREES
  • this is a horizontal dilation of the parent cosine function
  • Period [0,360/b)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

​Desmos File:
y= cos (bx)

Picture
click on lower right corner to use this online graphing calculator
THIS IS IN DEGREES
  • this is a horizontal dilation of the parent cosine function
  • Period [0,2π/b)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File:
y= cos (x+c)

Picture
click on lower right corner to use this online graphing calculator
THIS IS IN DEGREES
  • ​this is a horizontal shift of the parent cosine function
  • Period [-c,360-c)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File:
y= cos (x+c)

Picture
click on lower right corner to use this online graphing calculator
THIS IS IN RADIANS
  • ​this is a horizontal shift of the parent cosine function
  • Period [-c,2π-c)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File:
y= cos (x) +d

Picture
click on lower right corner to use this online graphing calculator
THIS IS IN DEGREES
  • ​this is a vertical shift of the parent cosine function
  • Period [0,360)
  • Range: [-1+d,1+d]
  • Midline y = d
  • Amplitude = 1

​Desmos File:
y= cos (x) +d

Picture
click on lower right corner to use this online graphing calculator
THIS IS IN RADIANS 
  • ​this is a vertical shift of the parent cosine function
  • Period [0,2π)
  • Range: [-1+d,1+d]
  • Midline y = d
  • Amplitude = 1


Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you