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k0ka [10]
3 years ago
10

On interval [0,2pi) cos x=sin x

Mathematics
1 answer:
viktelen [127]3 years ago
8 0
\cos x=\sin x

When \cos x\neq0, you can divide through by it on both sides to get

\dfrac{\cos x}{\cos x}=\dfrac{\sin x}{\cos x}\iff 1=\tan x

and this occurs for x=\dfrac\pi4,\dfrac{5\pi}4.
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