Question

6
The period of the function
f(x) = cosec^2 3x + cot 4x is......​

Answer 1

Given :  function  f(x) = cosec² 3x + cot 4x  

To Find : Period

Solution:

Period of a function is the interval at which  function returning to the same value.

if p is the period of a function f(x)

=> f(x + p) = f(x)

f(x) = cosec² 3x + cot 4x

Period of cosec²x  = π

Period of cosec²3x  = π/3

Period of cotx  = π

Period of cot4x  = π/4

LCM ( π/3  ,  π/4 )

LCM of numerators/HCF of denominators

= π  / 1

= π

Hence period of  f(x) = cosec² 3x + cot 4x   is  π

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