Write the equation of the tangent line to the parametric curve x=sint y=sect when t=pi/4SET UP the integral to calculate the arc length of the curve if t∈[0,pi/3]

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- March 23rd 2009, 01:28 PMtiga killaurgent help....Write the equation of the tangent line to the parametric curve x=sint y=sect when t=pi/4SET UP the integral to calculate the arc length of the curve if t∈[0,pi/3]

- March 23rd 2009, 01:44 PMPinkk

^That is the slope of your tangent.

The equation of your tangent line in the form :

Arc length:

- March 23rd 2009, 02:01 PMSoroban
Hello, tiga killa!

Quote:

Write the equation of the tangent line to the parametric curve

. .

When

The derivatives are: .

When

Now write the equation of the line through with slope 2.

Quote:

SET UP the integral to calculate the arc length of the curve if

Formula: .

Therefore: .