Find the equation for the tangent line at t=0 to the curve represented by the parametric equations. Write the equation of the tangent line in two forms: (1) slope-intercept, and (2) using parametric equations.

Graph both sets of parametric equations (the curve and its tangent line) using Desmos.

Parametric equations are useful for describing the path of an object. Describe the direction of increasing t for your curve.

SEE PARAMETRIC EQUATIONS BELOW:

xc+d?=x0?=(−2)a+3sin(t) and yc+d?=y0?=(−3)b+cos(t)

(a=1)

(b=1)

(c=1)

(d=1)

pur-new-sol

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