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Maths HELP!

werto165
4. A curve is given parametrically by the equations

x = 5 cos t, y = 2 + 4 sin t, 0 t < 2pi.

 

(a) Find the coordinates of all the points at which C intersects the coordinate axes, giving your

answers in surd form where appropriate.

 

( B) Sketch the graph at C.

 

P is the point on C where t = pi/6

 

© Show that the normal to C at P has equation

 

8Sqr(3)y = 10x - 25Sqr(3).

 

Need help with part a, I know that there's more solutions but i cant remember how you find them

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Is this for Core 4? :D I'm doing that as well.

 

What co-ordinate axis does it say you need to work out which it cuts?

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Intel i7 4790k / MSI Z97M / Hyper 212 Evo / MSI Twin Frozr GTX 770 / 16GB Corsair Vengeance 1600MHz / Fractal Design Arc Mini R2 / Corsair CS750M / Samsung 840 Evo 250gb SSD /  WD Blue 1TB

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Is this for Core 4? :D I'm doing that as well.

 

What co-ordinate axis does it say you need to work out which it cuts?

Yes it is! I've worked it out now, you set y=0 and x=0, you find values of t and substitute it back in. Then you draw a cast diagram, find the two solutions and it makes a circle. E7lNEGk.jpg

CPU: Intel 3570 GPUs: Nvidia GTX 660Ti Case: Fractal design Define R4  Storage: 1TB WD Caviar Black & 240GB Hyper X 3k SSD Sound: Custom One Pros Keyboard: Ducky Shine 4 Mouse: Logitech G500

 

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