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solve 2sinxcosx=0
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sin2x=0 2x=sin^-1(0)
then what...?
divide both sides by 2...
wait
\(\sin x\) is 0 for angles of \(x=n\pi\), so \(\sin 2x\) is 0 for \(x=\dfrac{n\pi}{2}\).
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would you go to 2x=sin^-1(0) +2 pi n 2x=0 + 2 pi n x=pi n?
whoa whoa you are making this much harder than it is
^^Right you don't even need to use the identity in the first place.
\[2\sin(x)\cos(x)=0\iff \sin(x)\cos(x)=0\iff \sin(x)=0\text { or } \cos(x)=0\]
the 2 out front is a red herring, ignore it this is rather easy right?
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wait but u got x=pi n /2 and I got x= pi n?
where is cosine equal zero?
where is sine equal zero?
90 and 270 degrees 0 and 180 degrees
? IDK where this is taking me...
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