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Parametric equations for the tangent line

  • Thread starter Whatupdoc
  • Start date
  • #1
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Find parametric equations for the tangent line at the point (cos(-4pi/6),sin(-4pi/6),-4pi/6) on the curve x=cost, y=sint,z=t

x(t) = _________
y(t) = _________
z(t) = _________

r'(t) = <-sin(t), cos(t), 1>
r'(0) = <0,1,1>



my answer:
x = cos(-4pi/6) + 0t
y = sin(-4pi/6) +1t
z = -4pi/6 +t

the only part i got correct is the z, anyone know what im doing wrong?
 

Answers and Replies

  • #2
StatusX
Homework Helper
2,564
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You want the derivative at the tangent point, not t=0.
 
  • #3
99
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yea your right, i dont know what i was thinking, thanks
 

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