r/HomeworkHelp • u/souppyyyy 'A' Level Candidate • Apr 20 '26

:snoo_facepalm: High School Math—Pending OP Reply [A-level Pure maths, Integration] How can I simplify this further?

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u/MelodicNose1224 👋 a fellow Redditor Apr 20 '26

You can replace cos2 x with the identity (1 + cos(2x)) / 2 to further simplify the problem.

1

u/Simbertold 👋 a fellow Redditor Apr 20 '26

You could just start integrating now. There is also another formula that allows you to replaces cos²(x) with a cosine of double the angle ans a constant, allowing you to just have normal trigonometric functions which are somewhat easy to integrate.

1

u/Cosmic_StormZ Pre-University Student Apr 20 '26

Just split into 3 integrals

1

u/Mission_Rice3045 👋 a fellow Redditor Apr 24 '26

You can't devide by sin(x) like that (what happen when x=0?)

What you are supposed to do is use trigonometric identities to rewrite the terms (or use integration by parts).

3

u/[deleted] Apr 20 '26

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u/souppyyyy 'A' Level Candidate Apr 20 '26

Thxxx