The period of the function f(x) = cos 4x + tan 3x is

Question

The period of the function f(x) = cos 4x + tan 3x is (A) π (B) (π/2) (C) (π/3) (D) (π/4)

Tardigrade Admin · Accepted Answer

We know period of cos 4 x=(2 π/4)=(π/2) and period of tan 3 x=(π/3) ∴ Period of f(x)= operatornameLCM((π/2), (π/3)) =( operatornameLCM(π, π)/ operatornameHCF(2,3))=π

Q. The period of the function $f (x) = cos 4 x + tan 3 x$ is

$π$

$\frac{π}{2}$

$\frac{π}{3}$

$\frac{π}{4}$

We know period of $cos 4 x = \frac{2 π}{4} = \frac{π}{2}$
and period of $tan 3 x = \frac{π}{3}$
$∴$ Period of $f (x) = LCM (\frac{π}{2}, \frac{π}{3})$
$= \frac{LCM ( π , π )}{HCF ( 2 , 3 )} = π$

Q. The period of the function f(x)=cos4x+tan3x is

π

2π​

3π​

4π​

We know period of cos4x=42π​=2π​ and period of tan3x=3π​ ∴ Period of f(x)=LCM(2π​,3π​) =HCF(2,3)LCM(π,π)​=π

Q. The period of the function $f (x) = cos 4 x + tan 3 x$ is

$π$

$\frac{π}{2}$

$\frac{π}{3}$

$\frac{π}{4}$

We know period of $cos 4 x = \frac{2 π}{4} = \frac{π}{2}$
and period of $tan 3 x = \frac{π}{3}$
$∴$ Period of $f (x) = LCM (\frac{π}{2}, \frac{π}{3})$
$= \frac{LCM ( π , π )}{HCF ( 2 , 3 )} = π$