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Questions  

 The period of the function sin3x2+cos5x5 is 

a
b
10π
c
d

detailed solution

Correct option is B

fx= sin3x2+cos5x5the period of sin3x is 2π  since sin32π+x=sin3x ⇒the period of sin3x2= 2π12 =4π    if fx  period is p then fax+b  period is pa ⇒ so the period of sin3x2  is 2π  the period of cos5x is 2π so the period of cos5x5 is 2π15= 10π so the period of cos5x2 is =5πso the period of fx = LCM of2π,5π =10π

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