Question

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

Answer 1

`\cos x=\sin x`

When
`\cos x\\eq0`, you can divide through by it on both sides to get


`(\cos x)/(\cos x)=(\sin x)/(\cos x)\iff 1=\tan x`

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