Question

What is the period of cos ( 4x+5 )​

Answer 1

Given : cos ( 4x+5 )​

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)

Period of  cosx  is  2π

Period of cos ( ax+b)    =   2π/x

hence period of  cos ( 4x+5 )​  = 2π/4

period of cos cos ( 4x+5 ) is π/2  

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Answer 2

Question

What is the period of cos ( 4x+5 )

Answers

DETERMINE

The period of

CONCEPT TO BE IMPLEMENTED

1. A function f (x) is said to be a periodic function of period T if

$f( x + T) = f(x)$

2. If f(x) is a periodic function of period T then period of f(ax+b) is

$\frac{t}{ |a| }$

EVALUATION

Here the given function is

$cos \: (4x \: + 5)$

$Now \: the \: period \: of \: cos \: x \: is \:$

$2\pi$

$Therefore, \ \: \: \\ The \: \: period \: of \: cos \: (4x +5) \: is$

$= \frac{period \: of \: cos \: x}{coffecient \: of \: x}$

$= \frac{2\pi}{4}$

$= \frac{\pi}{2}$

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