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Mathematics 9 Online
OpenStudy (anonymous):

solve 2sinxcosx=0

OpenStudy (anonymous):

sin2x=0 2x=sin^-1(0)

OpenStudy (anonymous):

then what...?

OpenStudy (anonymous):

divide both sides by 2...

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

\(\sin x\) is 0 for angles of \(x=n\pi\), so \(\sin 2x\) is 0 for \(x=\dfrac{n\pi}{2}\).

OpenStudy (anonymous):

would you go to 2x=sin^-1(0) +2 pi n 2x=0 + 2 pi n x=pi n?

OpenStudy (anonymous):

whoa whoa you are making this much harder than it is

OpenStudy (anonymous):

^^Right you don't even need to use the identity in the first place.

OpenStudy (anonymous):

\[2\sin(x)\cos(x)=0\iff \sin(x)\cos(x)=0\iff \sin(x)=0\text { or } \cos(x)=0\]

OpenStudy (anonymous):

the 2 out front is a red herring, ignore it this is rather easy right?

OpenStudy (anonymous):

wait but u got x=pi n /2 and I got x= pi n?

OpenStudy (anonymous):

where is cosine equal zero?

OpenStudy (anonymous):

where is sine equal zero?

OpenStudy (anonymous):

90 and 270 degrees 0 and 180 degrees

OpenStudy (anonymous):

? IDK where this is taking me...

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