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How to prove this trig identity? (2 Viewers)

hsc3hard5me

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cos^4(x) + cos^2(x).sin^2(x) = cos^2(x)

It's a prove that question in the Cambridge textbook
 

seventhroot

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LHS =

cos^4(x) + cos^2(x)*sin^2(x)

factorise cos^2 out

cos^2(x) [cos^2(x) + sin^2(x)]

= cos^2(x)

= RHS
 
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cos^4(x) + cos^2(x).sin^2(x) = cos^2(x)

It's a prove that question in the Cambridge textbook
Must be 1a or something

<img src="http://latex.codecogs.com/gif.latex?cos^{4}x&space;&plus;&space;cos^{2}xsin^{2}x&space;=&space;\\&space;cos^{2}x(cos^{2}x&space;&plus;&space;sin^{2}x)=&space;\\&space;cos^{2}x&space;\\&space;$Bracket&space;=&space;1" title="cos^{4}x + cos^{2}xsin^{2}x = \\ cos^{2}x(cos^{2}x + sin^{2}x)= \\ cos^{2}x \\ $Bracket = 1" />
 

zhertec

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Must be 1a or something

<img src="http://latex.codecogs.com/gif.latex?cos^{4}x&space;+&space;cos^{2}xsin^{2}x&space;=&space;\\&space;cos^{2}x(cos^{2}x&space;+&space;sin^{2}x)=&space;\\&space;cos^{2}x&space;\\&space;$Bracket&space;=&space;1" title="cos^{4}x + cos^{2}xsin^{2}x = \\ cos^{2}x(cos^{2}x + sin^{2}x)= \\ cos^{2}x \\ $Bracket = 1" />
I died laughing

Rep+
 

enigma_1

~~~~ Miss Cricket ~~~~
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Must be 1a or something

<img src="http://latex.codecogs.com/gif.latex?cos^{4}x&space;+&space;cos^{2}xsin^{2}x&space;=&space;\\&space;cos^{2}x(cos^{2}x&space;+&space;sin^{2}x)=&space;\\&space;cos^{2}x&space;\\&space;$Bracket&space;=&space;1" title="cos^{4}x + cos^{2}xsin^{2}x = \\ cos^{2}x(cos^{2}x + sin^{2}x)= \\ cos^{2}x \\ $Bracket = 1" />
don't be mean :/

at least he's using Cambridge :)

struggling to believe OP goes to hurlstone but ok
 
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maths is hard

anyways thanks guys, i don't know what went over me, was q1 for the record lel
ftfy

Jokes

are you being serious?

Also, maths becomes easy with practice. Dont worry or stress too much, once you pick up the hang of questions and understand them, you'll be fine.
 

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