Question: EXAMPLE 3 Find parametric equations for the tangent line to the helix with parametric equations x=3cos(t)y=4sin(t)z=t at the point (0,4,/2). SOLUTION The vector equation of

EXAMPLE 3 Find parametric equations for the tangent line to the helix with parametric equations x=3cos(t)y=4sin(t)z=t at the point (0,4,/2). SOLUTION The vector equation of the helix is r(t)=3cos(t),4sin(t),t),50 r(t)= The parameter value corresponding to the point (0,4,/2) is t= r(/2)= The tangent line is the line through (0,4,/2) parallel to the vector ,0,x=y=4z=

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