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Question

Find the number of solutions of the equation cos3x=0, for x[0,2π]=

A
6.0
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B
6.00
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C
6
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D
06
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E
06.0
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Solution

Number of solutions are the numbers of points of intersection of y=cos3x and y=0 in the interval [0,2π].
Fundamental function of y=cos3x is cosx.

Graph of cosx

Transforming this graph to cos3x by shrinking it along the x axis by 3 units. We get,
From the above graph we can say that the number of points of intersection of y=cos3x and y=0 in the interval [0,2π] is 6.


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