$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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Let $\"\"$ and $\"\"$ are on the same set of co - ordinate axes.

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Consider $\"\"$ .

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Compare the function with $\"\"$ .

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$\"\"$ .

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Amplitude : $\"\"$ .

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Period = $\"\"$ .

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The key points over the interval $\"\"$ are $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Compare the function with $\"\"$ .

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$\"\"$ .

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Amplitude : $\"\"$ .

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Period = $\"\"$ .

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The key points over the interval $\"\"$ are $\"\"$ .

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$\"\"$

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The graphs of the two functions shown below:

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$\"graph_by_trigonometryvalues_f(x)=2cos2xg(x)=-cos(4x).gif\"$ $\"\"$

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Graph :

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$\"graph_by_trigonometryvalues_f(x)=2cos2xg(x)=-cos(4x).gif\"$