The equation of the Cardioid is $\"\"$ and the point $\"\"$ .

Slope of the tangent is derivative of the function at a particular point.

Find the derivative of the curve.

Consider $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$ .

Power rule of derivatives : $\"\"$ .

$\"\"$

Substitute the point $\"\"$ in above function. $\"\"$

Slope of the tangent line at $\"\"$ is $\"\"$ .

Point-slope form of line equation: $\"\"$ .

Substitute $\"\"$ and $\"\"$ in above formula.

$\"\"$

Equation of a tangent line $\"\"$ .