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Question

The period of the curve y=sin4x is equal to

A
eln π24
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B
elnπ4
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C
e12lnπ216
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D
Period of y=cos4x
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Solution

The correct option is D Period of y=cos4x
Let us draw the graph of y=sin4x

We can observe from the graph that the graph is repeated after every interval of length π2.
Period of sin4x is π2

(i) eln π24=π2
(ii) elnπ4=π4
(iii) e12lnπ216=π4

(iv) Let us draw the graph of y=cos4x

We can observe from the graph that the graph is repeated after every interval of length π2.
Period of cos4x is π2

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