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Mathematics 9 Online
OpenStudy (anonymous):

Help please.

OpenStudy (anonymous):

Rewrite with only sin x and cos x. sin 3x - cos x

hartnn (hartnn):

use standrd formula sin 3x = 3 sinx-4sin^3 x

hartnn (hartnn):

yes, u do.

OpenStudy (aravindg):

:)

OpenStudy (aravindg):

gt it @keelyjm ?

OpenStudy (anonymous):

do I put 3sinx-4cos^3x in place of 3 sinx and then solve?

OpenStudy (anonymous):

@AravindG

OpenStudy (aravindg):

in place of sin 3x yes

OpenStudy (aravindg):

@keelyjm

hartnn (hartnn):

now i observed! its sin 3x = 3 sinx-4sin^3 x not cos term put this in sin 3x - cos x

OpenStudy (anonymous):

so 3 sinx-4sin^3 x -cosx?

OpenStudy (aravindg):

oh ya it sin^3x

OpenStudy (aravindg):

sin 3x = 3 sinx-4sin^3 x

hartnn (hartnn):

3 sinx-4sin^3 x -cosx i think thats it...

OpenStudy (anonymous):

Well it is a multiple choice and the choices are: 2 sin x - sin3x - cos x 2 sin x cos2x + sin x - 2 sin3x - cos x 2 sin3x cos4x + 1 3 sin x cos x - sin3x - cos x

OpenStudy (anonymous):

but I am not sure becsue there are no similar terms...

hartnn (hartnn):

weird becaus options have sin3x and question says 'only sin x and cos x.'

OpenStudy (anonymous):

that is what I thought...

OpenStudy (anonymous):

OOOOHH I wrote It wrong!! The answer choices are: 2 sin x - sin^3x - cos x 2 sin x cos^2x + sin x - 2 sin^3x - cos x 2 sin^3x cos^4x + 1 3 sin x cos x - sin^3x - cos x

OpenStudy (anonymous):

@hartnn sorry my bad..

OpenStudy (anonymous):

I think it is 2 sin^3x cos^4x + 1

hartnn (hartnn):

i think it'll be 2 sin x cos^2x + sin x - 2 sin^3x - cos x but let me try

hartnn (hartnn):

3s -4 s^3 = 2s (1-s^2) -2s^3+s = 2sc^2-2s^3+s where s=sin x

hartnn (hartnn):

c= cos x so, 2 sin x cos^2x + sin x - 2 sin^3x - cos x = sin 3x - cos x

OpenStudy (anonymous):

I see! Thanks for all of your help!

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