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Maths-

General

Easy

Question

The function $f left parenthesis x right parenthesis equals sin invisible function application fraction numerator pi x over denominator 2 end fraction plus 2 cos invisible function application fraction numerator pi x over denominator 3 end fraction minus tan invisible function application fraction numerator pi x over denominator 4 end fraction$ is period with period

6
3
4
12

The correct answer is: 12

Period of $sin invisible function application fraction numerator pi x over denominator 2 end fraction equals fraction numerator 2 pi over denominator pi divided by 2 end fraction equals 4$
Period of $cos invisible function application fraction numerator pi x over denominator 3 end fraction equals fraction numerator 2 pi over denominator pi divided by 3 end fraction equals 6$
Period of $tan invisible function application fraction numerator pi x over denominator 4 end fraction equals fraction numerator pi over denominator pi divided by 4 end fraction equals 4$
$therefore$ Period of $f left parenthesis x right parenthesis equals$ L.C.M. of (4, 6, 4) = 12

Related Questions to study

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Which one of the following is not true

Which one of the following is not true

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parallel

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parallel

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