Tangent line to any point on Unit Circle has slope m= -cot(ɵ)?

A tangent line drawn to any point on a unit circle, centered at the origin, has a slope that can easily be determined by this formula. Also note that the unit circle can be defined in terms of parametric equations. The derivation utilizes the 'derivative of parametric curves' approach.

#parameter #unitcircle #parametricequations #derivatives #differentialcalculus #calculus #calculusfundamentals #functions #theta #calculusapplications #professorcalculish #shorts #tangentline #slopeoftangentline

• #education
• #unit_circle
• #parametric_equations
• #derivatives_of_parametric_equations
• #slope_of_tangent_line