004030
004030
18-05-2017
Mathematics
contestada
On interval [0,2pi) cos x=sin x
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LammettHash
LammettHash
18-05-2017
[tex]\cos x=\sin x[/tex]
When [tex]\cos x\neq0[/tex], you can divide through by it on both sides to get
[tex]\dfrac{\cos x}{\cos x}=\dfrac{\sin x}{\cos x}\iff 1=\tan x[/tex]
and this occurs for [tex]x=\dfrac\pi4,\dfrac{5\pi}4[/tex].
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