Wednesday, October 31

Sine graph generator


Sine graph is the periodic with period 2`pi` .They wriggle back and forth between -1 and 1 in a smooth way. Sine starts at 0 and goes up to 1 .Sine graph generator produce the sinusoidal wave. The sine function graph usually how to find phase sift, period, amplitude for the equation

Sine graph generator following conditions produced y = sinx ,  Domain (− ∞, ∞) , Range [− 1, 1] , Principal domain (−π / 2,π / 2)

Sample Problem for Sine Graph Generator:

Example 1:

 Draw the amplitude for given question y=a sinx for various values of  a.

Solution:

For sine is how far the graph gets away from the x-axis, so it is called the amplitude.

Y=a sinx ,  where a=1,2,3 0.5,0.2

See the given  Sine graph  generator



For sine is how far the graph gets away from the x-axis, so it is called the amplitude.

Y=a sinx    a=2 , -2

See the given  Sine graph  generator

y= 2 sinx, -2sinx



Example 2:

 Draw the amplitude for given question y= sinx for various values of  a.

Solution

y=sinx where x values follows
 x =1, -1
see the sine graph generator



Example 3:

Show that Periods other than 2pi is a little harder; because there is a lot that the graph does in the course of its period. P=2`pi` /b

Y=sinbx where b=1,2,3,0.5

solution:

See the given  Sine graph  generator



Practice Problem for Graphs of Sine Generator:

1. Graphing the amplitude for given question y=d sin2x for various values of d

Answer: d values 1,2,3,1.5,4

2. Graphing the period of given question y= sinbx for various values of b

Answer: b values 1,2,3,1.5

3. Graphing sine periods for y= sinbx values of b and d are;

Answer: b=1,2,3,0.5

4. Graphing the amplitude for given question y=t sin3x for various values of t

Answer: t values 1,2,1.5 0.5,0.3.

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