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Given the parametric curve x= sin(2t) and y=2 sin(t)+ sin(2t)
1) Calculate the slope of the tangent line at any value of t.
2) Find the tangent line at t= (1/2)(Pi).
1) Calculate the slope of the tangent line at any value of t.
2) Find the tangent line at t= (1/2)(Pi).
Answers
Answered by
oobleck
the slope of the tangent line is
dy/dx = (dy/dt)/(dx/dt) = (2cost + 2cos(2t))/(2cos(2t))
Now plug in your point.
dy/dx = (dy/dt)/(dx/dt) = (2cost + 2cos(2t))/(2cos(2t))
Now plug in your point.
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