\"\"

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(a)

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The trigonometric functions are \"\" and \"\".

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The first trigonometric function is \"\".

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Find the period :

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One cycle :

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\"\"

\

\"\".

\

Graph of the trigonometric function \"\" is :

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\"graph

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\"\"

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The second trigonometric function is \"\".

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At \"\", \"\".

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Find the period : \ \ One cycle :

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\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".\"\"

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Graph of the trigonometric functions \"\" and \"\" is :\"graph

\

Observe the above graph :

\

The graph\"\"  is shifted \"\" units to the left of the graph of \"\" .\"\"

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(b)

\

The trigonometric functions are \"\" and \"\".

\

The first trigonometric function is \"\".

\

Find the period :

\

One cycle :

\

\"\"

\

\"\".

\

Graph of the trigonometric function \"\" is :

\

\"graph

\

\"\"

\

The second trigonometric function is \"\".

\

 

\

At \"\", \"\".

\

Find the period : \ \ One cycle :

\

\"\"

\

\"\"

\

\"\" \ \

\

\"\".\"\"

\

Graph of the trigonometric functions \"\" and \"\" is :

\

\"graph

\

Observe the above graph :

\

The graph\"\"  is shifted \"\" units to the right of the graph of \"\".

\

\"\"

\

(a)

\

Graph of the trigonometric functions \"\" and \"\" is :\"graph

\

(b)

\

Graph of the trigonometric functions \"\" and \"\" is :

\

\"graph