soullesstempt5468 soullesstempt5468
  • 22-06-2018
  • Mathematics
contestada

Find the exact slope of the tangent line to the parametric curve { x = 7 cos ( t ) y = 5 sin ( t ) {x=7cos(t)y=5sin(t) at the point where t = π 6 t=π6.

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sqdancefan
sqdancefan sqdancefan
  • 01-07-2018
The slope of the line will be
  m = (dy/dt)/(dx/dt)
  = 5·cos(t)/(-7·sin(t))
  = (-5/7)·cot(t)

For t=π/6, this is
  m = (-5/7)√3
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