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# C4 Ocr Past Paper Question 10

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1. Hi.
https://983c9f06eb1f75af6e83364e092b...20C4%20OCR.pdf
How do i go about starting question 10(i).
The x=sin(theta) is confusing me a bit.
thanks

Note: I know i still need to change the boundaries..:
2. The integral is
.
You have written it down wrong.
3. (Original post by B_9710)
The integral is
.
You have written it down wrong.
Thanks for spotting this.
4. So you are all fine now?
5. The 3/2 on the bottom of the integral would become negative on the top.

Cos^2 theta - sin^2 theta = cos (2theta)
Cos^2 theta + sin^2 theta = 1

Cos^2 theta = (1+cos (2theta))/2

This can then be integrated
6. Yeah. Thanks for the help i was able to do it eventually.
7. https://983c9f06eb1f75af6e83364e092b...20C4%20OCR.pdf

How do i got about question 7 (i)?
What should cosecx by changed to before differentiating?
8. change cosec to (sin x)^{-1} and then apply the chain rule / composite function rule

BTW, that is a new post really.

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