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Mathematics 18 Online
OpenStudy (hari5719):

hey CAN U PLSS HELP ME WITH TRIGONOMETRY

OpenStudy (hari5719):

OpenStudy (anonymous):

rewrite \[\sin(2x)\] using the "double angle" formula do you know it?

OpenStudy (hari5719):

ya \[\sin (sx)=2\sin x \cos x=2\tan x \div 1+\tan ^{2}x\]

OpenStudy (anonymous):

use the first one

OpenStudy (hari5719):

sorry i am slow at typing

OpenStudy (anonymous):

\[2\cos(x)+2\cos(x)\sin(x)=0\] factor etc

OpenStudy (hari5719):

how would i solve that

OpenStudy (anonymous):

factor out the common factor of \(2\cos(x)\) then set each factor equal to zero and solve

OpenStudy (hari5719):

can u show me one plsss

OpenStudy (solomonzelman):

\(\color{#000000 }{ \displaystyle a+ab~~\Longrightarrow ~~a\cdot 1+a\cdot b~~\Longrightarrow ~~a(1+b) }\)

OpenStudy (solomonzelman):

Same there, bu instead of «a» and «b», you have cosine and sine (respectively).

OpenStudy (solomonzelman):

knowing that \(\color{#000000 }{ \displaystyle 2a+2ab~~\Longrightarrow ~~2a\cdot 1+2a\cdot b~~\Longrightarrow ~~2a(1+b) }\) \(\color{#000000 }{ \displaystyle 2\cos(x)+2\cos(x)\sin(x) ~~\Longrightarrow ~~2\cos(x)\cdot 1+2\cos(x)\cdot \sin(x)~~\Longrightarrow ~~? }\)

OpenStudy (hari5719):

thnx guys

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