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I’ve been doing a C4 edexcel past paper from 2014, and i’m stuck on part b) of the question. I’m not sure if I need to know this for the new OCR maths syllabus. Many ThanksName:  AF326B5A-8B56-4A03-A171-0FC18DDC3386.jpeg
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(Original post by Anonymous_4657)
I’ve been doing a C4 edexcel past paper from 2014, and i’m stuck on part b) of the question. I’m not sure if I need to know this for the new OCR maths syllabus. Many Thanks
That topic is not part of A Level maths anymore. That's the risk with trying old spec papers - it can be hard to know if a question is relevant to new spec.
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(Original post by Sir Cumference)
That topic is not part of A Level maths anymore. That's the risk with trying old spec papers - it can be hard to know if a question is relevant to new spec.
Thanks. Also, is this question part of the new syllabus? I’m stuck with part b), and part c)Name:  5C38DE49-87B4-4D04-8999-3F20F2D5BC37.jpeg
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(Original post by Anonymous_4657)
Thanks. Also, is this question part of the new syllabus? I’m stuck with part b), and part c)Name:  5C38DE49-87B4-4D04-8999-3F20F2D5BC37.jpeg
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Yes it is. You've probably done similar (maybe a bit easier) questions before in your textbook? Please post your answer to a) and any working/thoughts for b) and I can help you.
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(Original post by Sir Cumference)
Yes it is. You've probably done similar (maybe a bit easier) questions before in your textbook? Please post your answer to a) and any working/thoughts for b) and I can help you.
This is my answer for part a). I haven’t got anything for part b). I didn’t know where to start.Name:  3CF641EF-93B2-4C6D-82AC-37824FE5AC21.jpeg
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(Original post by Anonymous_4657)
This is my answer for part a). I haven’t got anything for part b). I didn’t know where to start.Name:  3CF641EF-93B2-4C6D-82AC-37824FE5AC21.jpeg
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If I asked you what the maximum value is of 2\sin \theta - 4\cos \theta would you know that? I'm just checking if you know how to do the more standard questions before tackling this harder question.
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(Original post by Sir Cumference)
If I asked you what the maximum value is of 2\sin \theta - 4\cos \theta would you know that? I'm just checking if you know how to do the more standard questions before tackling this harder question.
Do differentiate and make equal to zero? Or is it something to do with the sin and cos graphs?
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(Original post by Anonymous_4657)
Do differentiate and make equal to zero? Or is it something to do with the sin and cos graphs?
No you should use the Rsin form that you derived. I recommend looking in your textbook and it will explain how to do questions like this.
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What topic does this come under? I have the CGP book for OCR, will it be in there? Sir Cumference
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(Original post by Anonymous_4657)
What topic does this come under? I have the CGP book for OCR, will it be in there? Sir Cumference
It will be somewhere within trigonometry. Look for the part that teaches Rsin/cos forms and it will be part of that.
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(Original post by Sir Cumference)
It will be somewhere within trigonometry. Look for the part that teaches Rsin/cos forms and it will be part of that.
Thank you for your help!
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(Original post by Sir Cumference)
It will be somewhere within trigonometry. Look for the part that teaches Rsin/cos forms and it will be part of that.
Is this it? This is the example I found in the CGP book. Name:  E3505476-75C4-4A91-909C-9E89A95E95C9.jpeg
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(Original post by Anonymous_4657)
Is this it? This is the example I found in the CGP book. Name:  E3505476-75C4-4A91-909C-9E89A95E95C9.jpeg
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Yes. I recommend trying all of the questions on this topic in the textbook before trying the exam question. If you need help let me know.
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In the CGP book it doesn’t have any practice question on this, and I don’t have my OCR textbook on me. Could you send me a link to some practice questions please. Thanks
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(Original post by Anonymous_4657)
In the CGP book it doesn’t have any practice question on this, and I don’t have my OCR textbook on me. Could you send me a link to some practice questions please. Thanks
There are some mixed questions here:

https://pmt.physicsandmathstutor.com...0Questions.pdf

Q4 and 6 are related to your question but I recommend trying as many different questions as possible to get used to this topic.
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Anonymous_4657 here are the answers to that worksheet:

https://pmt.physicsandmathstutor.com...%20Answers.pdf
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(Original post by Sir Cumference)
Anonymous_4657 here are the answers to that worksheet:

https://pmt.physicsandmathstutor.com...%20Answers.pdf
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How do you know the max is 25? Where did the x-16.3 = 90 come from? You probably think I’m being really stupid.
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(Original post by Anonymous_4657)
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How do you know the max is 25? Where did the x-16.3 = 90 come from? You probably think I’m being really stupid.
Firstly you're not stupid. This forum is for questions from any level so never be embarrassed about asking for help.

You're considering the function

y=25\sin(x-16.3)

If you imagine the graph, this is the standard sine function translated by 16.3 to the right and stretched vertically by 25. Here's what it looks like:

https://www.desmos.com/calculator/taukf47klw

You can see that the maximum is 25. This is because the maximum of sin(x) is 1 and it's been stretched by 25. There are infinitely many maximums as you can see but the question asks for the smallest x value that gives a maximum. So basically you're just solving the equation

25\sin(x-16.3) = 25

i.e

\sin(x-16.3) = 1

This is where x - 16.3 = 90 (to get the smallest value of x).
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(Original post by Sir Cumference)
Firstly you're not stupid. This forum is for questions from any level so never be embarrassed about asking for help.

You're considering the function

y=25\sin(x-16.3)

If you imagine the graph, this is the standard sine function translated by 16.3 to the right and stretched vertically by 25. Here's what it looks like:

https://www.desmos.com/calculator/taukf47klw

You can see that the maximum is 25. This is because the maximum of sin(x) is 1 and it's been stretched by 25. There are infinitely many maximums as you can see but the question asks for the smallest x value that gives a maximum. So basically you're just solving the equation

25\sin(x-16.3) = 25

i.e

\sin(x-16.3) = 1

This is where x - 16.3 = 90 (to get the smallest value of x).
Thanks! I’ve got it now.
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