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Question

The number of solution of equation sin100xcos100x=1 if xε[0,2π], is

A
1
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B
4
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C
2
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D
0
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Solution

The correct option is A 1
Given

sin100xcos100x=1

The range of sin100x and cos100x is [0,1]

To get sum The diifferecne as 1

The Possibility is (1,0)

x=π2

there is only one soluton.

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