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x= cos (t) y=sin(t)

x= cos (t) y=sin(t) . Sketch the graphs of cos (t) and sin(t) [0<t<2 π ] Copy & complete the table: Sketch the graph of the equations [with coordinates ( x,y ) from table ].

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x= cos (t) y=sin(t)

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  1. x=cos(t) y=sin(t) • Sketch the graphs of cos(t) and sin(t) [0<t<2π] • Copy & complete the table: • Sketch the graph of the equations [with coordinates (x,y) from table ]

  2. Parametric DifferentiationWhen x& y are given in terms of a 3rd variable (the parameter, usually t)Differentiate the curve defined by: x=cos(t) y=sin(t) CHAIN RULE

  3. Find the gradient function of x=t3-t y=4-t2 3.1C m5 Ex.15.3 p.152 #1, *3*

  4. If the tangent is vertical, the gradient of the tangent is undefined. This is undefined when the denominator is zero: t=4 or 1

  5. Calculate the equation of the tangent to the curve defined by: x=(t+1)3y=t2-2At the point (8, -1)

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