$\"\"$

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a.

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The identity is $\"\"$ .

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Consider left hand side identity : $\"\"$ .

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Divide the numerator and denominator by $\"\"$ .

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$\"\"$

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Quotient identity : $\"\"$ .

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Reciprocal identity : $\"\"$ .

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$\"\"$

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= Right hand side identity.

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Thus, $\"\"$ .

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$\"\"$

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b.

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The function is $\"\"$ .

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Consider $\"\"$ .

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Substituet he values of $\"\"$ , $\"\"$ m/s, and $\"\"$ in above function.

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$\"\"$

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The maximum height of the rocket is about $\"\"$ meters.

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$\"\"$

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a. $\"\"$ .

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b. The maximum height of the rocket is about $\"\"$ meters.