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Parametric Equations/Trigonometry [OCR June 2008 C4 Q9]

Hi - I am struggling with part i), finding the angle at A and B. For B I was thinking y=0, but rearranging the parametric eqn for y gives theta = 0. I have no idea how to find A - all I can see is that it is a maximum point but I don't think that is relevant here. The mark scheme says the answer is A: 1/2 Pi and B: 2Pi. Any help would be much appreciated.

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Reply 1
Original post by MohammedPatel
Hi - I am struggling with part i), finding the angle at A and B. For B I was thinking y=0, but rearranging the parametric eqn for y gives theta = 0. I have no idea how to find A - all I can see is that it is a maximum point but I don't think that is relevant here. The mark scheme says the answer is A: 1/2 Pi and B: 2Pi. Any help would be much appreciated.

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Yes, for B you need y = 0, so sin theta = 0 - there is more than one value of theta that makes sin theta = 0, it's just not just theta = 0...

For A, you need to make y as maximum as possible, you know that sin theta is bounded between -1 and 1, so the maximum occurs at 1, so the maximum of 4sin theta occurs at y=4, at what value of theta does y=4 occur? You need only solve sin theta = 1.
Reply 2
Y is a maximum at A.
Original post by Zacken
Yes, for B you need y = 0, so sin theta = 0 - there is more than one value of theta that makes sin theta = 0, it's just not just theta = 0...

For A, you need to make y as maximum as possible, you know that sin theta is bounded between -1 and 1, so the maximum occurs at 1, so the maximum of 4sin theta occurs at y=4, at what value of theta does y=4 occur? You need only solve sin theta = 1.


Thank you. This makes perfect sense :smile:
Reply 4
Original post by Duck'sBackBRO
No offence bro, but do you have a life? Every thread I look at you're the first to reply...


You're the loser who trolls a student forum so really... I mean, you gotta pretty damn retarded for you to do that.
Original post by Zacken
You're the loser who trolls a student forum so really... I mean, you gotta pretty damn retarded for you to do that.


You cannot even form sentences wtf is this
Original post by Zacken
You're the loser who trolls a student forum so really... I mean, you gotta pretty damn retarded for you to do that.


Also, I didn't mean to offend you or sound rude. It was an honest question... are there no ladies in Mauritius?
Reply 7
Original post by Duck'sBackBRO
No offence bro, but do you have a life? Every thread I look at you're the first to reply...


Sadly, I'd have to admit that I had this question in the back of mind... :s-smilie:
Reply 8
Original post by Moazer
Sadly, I'd have to admit that I had this question in the back of mind... :s-smilie:


Really? Is that why you created a dupe account...

Such drivel is not worth Zacken's time.
Reply 9
Original post by popo111
Really? Is that why you created a dupe account...

Such drivel is not worth Zacken's time.


and you are...?

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