Powered By Blogger

Saturday, 15 October 2011

5.1 Graphs of Sine, Cosine, and Tangent Functions

KeyNotes :

  • The graphs of y = sin x, y = cos x and y= tan x are periodic.
Sine and Cosine graphs.



    • The graphs of y = sin x and y = cos x have an amplitude (finding by adding the max. and min. values then dividing by 2)  of 1 and a period (a complete cycle) of 2π.
    Tangent Graph.
    The tan function
    The tan function is found using:
    Tan
    It therefore follows that tan θ = 0, when sin θ = 0, and tan θ is undefined when cos θ = 0.
    1. This graph is continuous, but is undefined when
    Tan
    2. The range of values for tan θ is unlimited.
    3. It has a period of π.
    Tan
    • All of the three functions periodically repeat their values and the simplest way to learn this, is to make sure that you understand the general rules below which use 'n' to represent any integer (i.e. any whole number, both positive and negative).


    No comments:

    Post a Comment