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C4 Parametric equations

The curve C is given by the parametric equations x = 3t+sint and y = t+2cost

Show that dy/dx = 1-2sint/3+cost

Hence find the points on C where the gradient is 0

How do you get 2 points?
All I can see is 1-2sint=0
Original post by G.Y
The curve C is given by the parametric equations x = 3t+sint and y = t+2cost

Show that dy/dx = 1-2sint/3+cost

Hence find the points on C where the gradient is 0

How do you get 2 points?
All I can see is 1-2sint=0


Fine, but what's the domain of t? Don't forget sine is a periodic function.
There could be an infinite no. of solutions when sin(t)=1/2
Depends on the restriction of the domain.
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G.Y
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Original post by ghostwalker
Fine, but what's the domain of t? Don't forget sine is a periodic function.


0 - 2pi

Oh I see what you mean, thank you

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