Math, asked by ksashwinkumar81, 9 months ago

1) find the period of the function f(x)=
$\frac{1}{2} ( \frac{ |sin \: x| }{cos \: x} + \frac{sin \: x}{ |cos \: x| }$

2)find the period of the functions
(i) f(x)=cos 2p x

(ii)f(x)=2 sin (3x-p)

please answer in detailed steps

Answers

Answered by Anonymous

In order to determine periodicity and period of a function, we can follow the algorithm as :

Put f(x+T) = f(x).

If there exists a positive number “T” satisfying equation in “1” and it is independent of “x”, then f(x) is periodic. ...

The least value of “T” is the period of the periodic function.

Answered by Anonymous

$\huge</p><p>\red{\mid{\underline{\overline{\textbf{Hi\:Mate}}}\mid}}$

$\huge</p><p>\blue{\mid{\fbox{\tt{Answer}}\mid}}$

$<body bgcolor=white><marquee direction="down"><font color=rehcdjddv>$

Follow me = follow back

ur ans is in above attachment ⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀

$<svg width="250" height="250" viewBox="0 0 100 100">\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <path fill="black" d="M92.71,7.27L92.71,7.27c-9.71-9.69-25.46-9.69-35.18,0L50,14.79l-7.54-7.52C32.75-2.42,17-2.42,7.29,7.27v0 c-9.71,9.69-9.71,25.41,0,35.1L50,85l42.71-42.63C102.43,32.68,102.43,16.96,92.71,7.27z"></path>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <animateTransform \ \textless \ br /\ \textgreater \ attributeName="transform" \ \textless \ br /\ \textgreater \ type="scale" \ \textless \ br /\ \textgreater \ values="1; 1.5; 1.25; 1.5; 1.5; 1;" \ \textless \ br /\ \textgreater \ dur="2s" \ \textless \ br /\ \textgreater \ repeatCount="40"> \ \textless \ br /\ \textgreater \ </animateTransform>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ </svg>$

Attachments:

Previous Question

Next Question

1) find the period of the function f(x)= 2)find the period of the functions (i) f(x)=cos 2p x(ii)f(x)=2 sin (3x-p)please answer in detailed steps ​

Answers

1) find the period of the function f(x)=
$\frac{1}{2} ( \frac{ |sin \: x| }{cos \: x} + \frac{sin \: x}{ |cos \: x| }$

2)find the period of the functions
(i) f(x)=cos 2p x

(ii)f(x)=2 sin (3x-p)

please answer in detailed steps