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<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>
<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>

Parametric equation question

Hey.
How do i go about answering this question.

IMG_0249.jpg



Thanks
Reply 1
Avatar for Zacken
Zacken
22
Original post by SamuelN98
Hey.
How do i go about answering this question.

IMG_0249.jpg



Thanks


(a) You want to solve 0=asin⁡θ0 = a \sin \theta and 0=aθcos⁡θ0 = a \theta \cos \theta in conjunction, what obvious value of θ\theta solves those two equations?
Reply 2
Avatar for SamuelN98
SamuelN98
OP
5
Original post by Zacken
(a) You want to solve 0=asin⁡θ0 = a \sin \theta and 0=aθcos⁡θ0 = a \theta \cos \theta in conjunction, what obvious value of θ\theta solves those two equations?


So theta =0 ?
Reply 3
Avatar for Zacken
Zacken
22
Original post by SamuelN98
So theta =0 ?


Yes. Now think about what values of θ\theta corresponds to AA and BB, hint: the y-axis is at π2\frac{\pi}{2} to the xx-axis.
Reply 4
Avatar for SamuelN98
SamuelN98
OP
5
Original post by Zacken
Yes. Now think about what values of θ\theta corresponds to AA and BB, hint: the y-axis is at π2\frac{\pi}{2} to the xx-axis.


Sorry, i don`t understand how to do that.
Reply 5
Avatar for B_9710
B_9710
18
The Cartesian equation can be found here but it is unnecessary.
Solve for when x and y =0 and did the corresponding θ values.
Reply 6
Avatar for Zacken
Zacken
22
Original post by SamuelN98
Sorry, i don`t understand how to do that.


What does an x-axis or y-axis intercept mean for the x,y coordinates?
Reply 7
Avatar for SamuelN98
SamuelN98
OP
5
Original post by Zacken
What does an x-axis or y-axis intercept mean for the x,y coordinates?


Y=0 at an X intercept, and X=0 at a Y intercept.
so B is (?,0) and A is (0,?).
Reply 8
Avatar for Zacken
Zacken
22
Original post by SamuelN98
Y=0 at an X intercept, and X=0 at a Y intercept.
so B is (?,0) and A is (0,?).


Yes.
Reply 9
Avatar for SamuelN98
SamuelN98
OP
5
Original post by Zacken
Yes.


I just don`t see how i can plug this in to get x value for B and a y value for A.
Reply 10
Avatar for Zacken
Zacken
22
Original post by SamuelN98
I just don`t see how i can plug this in to get x value for B and a y value for A.


Find a value of θ\theta that makes xx zero then plug this θ\theta into your yy. Then vice-versa.

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