Question

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

Answer 1

Step-by-step explanation:

Now, cosec^2 3x has a period of pi/3(60 deg). f(x) has a period of l.c.m (pi/3,pi/4)= l.c.m(pi,pi)/ h.c.f(3,4). Therefore, period of the function is f(x)= cosec^2 3x+cot 4x is pi .

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Answer 2

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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