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

1 answer:

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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