![\[\left( \mathbf{i} \right)~y\text{ }=\text{ }cos\text{ }x\text{ }and\text{ }y\text{ }=\text{ }cos\text{ }x/2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-337c23ced56deae0db64d482a2edaadc_l3.png "Rendered by QuickLaTeX.com")
Since, the functions
![\[y\text{ }=\text{ }cos\text{ }x\text{ }and\text{ }y\text{ }=\text{ }cos\text{ }\left( x/2 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-02ea067d1a3fd94e5c9af1421be82708_l3.png "Rendered by QuickLaTeX.com")
are periodic functions with periods
![\[\pi \text{ }and\text{ }\pi .\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f8ed3e39132a92ccb3dae3e2c9a34bd3_l3.png "Rendered by QuickLaTeX.com")
The values of these functions are tabulated below:
The curve is:
![\[\left( \mathbf{ii} \right)~y\text{ }=\text{ }co{{s}^{2}}~x\text{ }and\text{ }y\text{ }=\text{ }cos\text{ }x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-344cbe8c9323ea1c5a56aa2311cff161_l3.png "Rendered by QuickLaTeX.com")
Since, the functions
![\[y\text{ }=\text{ }co{{s}^{2}}~x\text{ }and\text{ }y\text{ }=\text{ }cos\text{ }x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-bc7386cb68e38e6cfc15e5d1a8a38e7e_l3.png "Rendered by QuickLaTeX.com")
are periodic functions with period
![\[2\pi .\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-313cee50ad08035288583dd75ddb82f4_l3.png "Rendered by QuickLaTeX.com")
The values of these functions are tabulated below:
The curve is:
