$\"\"$

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The parametric equations are $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Parametric form of derivative: $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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Find the equation of the tangent line at $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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As $\"\"$ , $\"\"$ .

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The value of $\"\"$ satisfying the two parametric equations is $\"\"$ .

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$\"\"$

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Find the slope of the tangent line $\"\"$ at $\"\"$ .

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$\"\"$

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$\"\"$ .

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Point slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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$\"\"$

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Find the equation of the tangent line at $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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As $\"\"$ , $\"\"$ .

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The value of $\"\"$ satisfying the two parametric equations is $\"\"$ .

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$\"\"$

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Find the slope of the tangent line $\"\"$ at $\"\"$ .

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$\"\"$

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$\"\"$ .

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Point slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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$\"\"$

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Find the equation of the tangent line at $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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As $\"\"$ , $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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As $\"\"$ , $\"\"$ .

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The value of $\"\"$ satisfying the two parametric equations is $\"\"$ .

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$\"\"$

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Find the slope of the tangent line $\"\"$ at $\"\"$ .

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$\"\"$

\

$\"\"$ .

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Point slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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Tangent line equation at $\"\"$ is $\"\"$ .

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Tangent line equation at $\"\"$ is $\"\"$ .