Monday, November 19, 2012

Graph of Sinx

 The coordinate graph is called the Cartesian coordinate plane. The graph contains a couple of the vertical lines are called coordinate axes. The vertical axis of the y axis value and the horizontal axis value is the x axis value. The points of the intersection of those two axes values are called the origin of coordinate graphing pictures.  The trigonometry graph is a sin or cos waves. In this graph equation is in the form of y = mx + c. m is nothing but a sin or cos. In this article we shall discuss graph of sin x.

Sample Problem for Graph of Sin X:

Graph of sin x problem 1:

Solve the given trigonometry functions 3sin 5x - y = 0 and draw the graph for the given function.

Solution:
In the first step we find the plotting point of the given trigonometry functions. The given function is
                                      3sin 5x - y = 0
We are going to find out the plotting points for a given equation. In the first step we are going to change equation in the form of y = mx + c, we get the following term
                                  3sin 5x – y = 0
                                                y = 3sin 5x
In the next step we are find out the plotting points of the above equation.
In the above equation we put x = -5 we get
           y = 3sin 5(-5)
           y = -0.4
In the above equation we put x = -4 we get
            y = 3sin 5(-4)    
           y = -2.7
In the above equation we put x = 0 we get
            y = 3sin 5(0)
           y = 0
In the above equation we put x = 2 we get
            y = 3sin 5(2)
           y = -1.6
From equation (1) we get the following value
X -5 -4 0 2
y 0.4 -2.7 0 -1.6
Graph:
y = 3sin 5x

Graph of Sin X Problem 2:

Solve the given trigonometry functions y = 2sin 3x and the draw graph for the given function.
Solution:
In the first step we find the plotting point of the given trigonometry functions. The given function is
                      y = 2sin 3x
We are going to find out the plotting points for a given equation. In the first step we are going to change equation in the form of y = mx + c, we get the following term
                        2sin 3x – y = 0
                              2sin 3x = y                                   
In the above equation we put x = -4 we get
           y = 2sin 3(-4)
           y = 1
In the above equation we put x = -3 we get
            y = 2sin 3(-3)   
           y = -0.82
In the above equation we put x = 0 we get
            y = 2sin 0
           y = 0
In the above equation we put x = 3 we get
            y = 2sin 3(3)
           y = 0.82
From equation (1) we get the following value
x -4 -3 0 3
y 1 -0.82 0 0.82
Graph:
y = 2sin 3x

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