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# Core 3 (AQA), need help with part of a question.

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1. Hi, Could someone please explain to me how/why these two expressions are eqivilent. Im having trouble understanding how the power of 3/2 is interacting with the cos^2(x).

Any help is greatly appreciated! Thanks!

2. (Original post by Jonsmith98)
Hi, Could someone please explain to me how/why these two expressions are eqivilent. Im having trouble understanding how the power of 3/2 is interacting with the cos^2(x).

Any help is greatly appreciated! Thanks!

is just , use index laws.
3. (Original post by Jonsmith98)
Hi, Could someone please explain to me how/why these two expressions are eqivilent. Im having trouble understanding how the power of 3/2 is interacting with the cos^2(x).

Any help is greatly appreciated! Thanks!

Adding onto what the 2nd reply said, this will make the fraction cos(x)/cos^6/2(x) which will simplify to cos(x)/cos^3(x) which will become 1/cos^2(x) which is the same as sec^2(x)
4. (Original post by bakedbeans247)
Adding onto what the 2nd reply said, this will make the fraction cos(x)/cos^6/2(x) which will simplify to cos(x)/cos^3(x) which will become 1/cos^2(x) which is the same as sec^2(x)
Ahhh I see now, thank you so much! Very helpful!
5. (Original post by Jonsmith98)
Ahhh I see now, thank you so much! Very helpful!
No worries, but i think you may find this helpful. Basically, you know examsolutions.net? I'm sure you do Well it has a Facebook group which is a very good place to ask any maths questions! Seriously you can get some really quick responses on their sometimes! so here's the link to it:

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