The parametric equations are and
.
Find .
Consider .
Apply derivative on each side with respect to .
.
Consider .
Apply derivative on each side with respect to .
.
Parametric form of derivative: .
Substitute and
.
Find the equation of the tangent line at .
Consider .
Consider .
The value of satisfying the two parametric equations is
.
Find the slope of the tangent line at
.
.
Point slope form of line equation is .
Substitute and
.
.
Tangent line equation at is
.
Find the equation of the tangent line at .
Consider .
Consider .
The value of satisfying the two parametric equations is
.
Find the slope of the tangent line at
.
.
Point slope form of line equation is .
Substitute and
.
Tangent line equation at is
.
Find the equation of the tangent line at .
Consider .
Consider .
The value of satisfying the two parametric equations is
.
Find the slope of the tangent line at
.
.
Point slope form of line equation is .
Substitute and
.
Tangent line equation at is
.
Tangent line equation at is
.
Tangent line equation at is
.
Tangent line equation at is
.