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Use the method of adding y-coordinates to graph the function on the interval [0, 2π].

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(a) use the Product-to-Sum Formulas to express each product as a sum, and (b) use the method of adding y-coordinates to graph the function on the interval [0, 2π].

f (x) = sin (2x) sin x
asked Jan 29, 2015 in PRECALCULUS by anonymous

2 Answers

0 votes

Step 1 :

(a)

The function is .

Product-to-sum formulas : .

The product image can be written as a sum of image.

Step 2 :

(b)

The method of adding y - coordinates :

The function is and the interval is .

Consider the composite functions as and .

answered Jan 29, 2015 by lilly Expert

Contd........

Make a table of values in the interval :

0
0.5 0.3535 0 0.3535 0.3535 0.3535 0.5
0.5 0.3535 0 0.3535 0.3535 0.3535 0.5

0 0.707 0 0.707 0.707 0.707 0
Point on the graph of f (0, 0) image image  image  image

 

0 votes

Contd..

Graph the functions and on the same coordinate system.

(1) Draw the coordinate plane.

(2) plot the points.

(3) connect the points with a smooth curve.

The graph is :

image

 

Solution :

(a) image.

(b) The graph is :

 

image

answered Jan 29, 2015 by lilly Expert

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