Graphs of Tangent and Cotangent

Basic Shapes of Tangent and Cotangent

Types of Problems:

  • Determine extreme values, intercepts, and midlines related to the graph of the tangent and cotangent function
  • Be able to sketch a graph of tangent and cotangent function
  • Be able to label "special" exact points on the graph of the tangent and cotangent function
  • Be able to graph multiple periods of tangent and cotangent function
  • Be able to state a set of x coordinates that lead to a given y coordinates using sequences
  • Use proper notation and descriptions in relation to the graphs of tangent and cotangent graph

Notes & Handouts

Practice 

Video and other resources

Four Basic Transformations of Tangent and Cotangent

Types of Problems:

  • "a" transformations of y = tan x and y = cot x
  • ​"b" transformations of y = tan x and y = cot x
  • "c" transformations of y = tan x and y = cot x
  • "d" transformations of y = tan x and y = cot x
  • Distinguish what the impact of sign and size of a, b, c and d on the graphs of                          y = tan x and y = cot x

Notes & Handouts

Practice

​Video and other resources

Multiple Transformations of Tangent and Cotangent

​Types of Problems:

  • "a" & "b" transformations of            y = tan x and y = cot x
  • "a" & "c" transformations of             y = tan x and y = cot x
  • "a" & "d" transformations of            y = tan x and y = cot x
  • "b" & "c" transformations of             y = tan x and y = cot x
  • "b" & "d" transformations of            y = tan x and y = cot x
  • "c"& "d" transformations of              y = tan x and y = cot x
  • "a" ,"b" & "c" transformations of      y = tan x and y = cot x
  • "a" ,"b" & "d" transformations of      y = tan x and y = cot x
  • "a" ,"c" & "d" transformations of      y = tan x and y = cot x
  • "b" ,"c" & "d" transformations of      y = tan x and y = cot x
  • a", "b" ,"c" & "d" transformations of y = tan x and y = cot x
  • Distinguish what the impact of sign and size of a, b, c and d on the graphs of y = tan x and y = cot x

​Practice

​Video and other resources

​Notes & Handouts