Question

How to solve for x from : acosx - sinx = 0

Answer 1

`x=\arctan (a)`

Explanation:

We have the following equation:

`a\cdot\: \cos \: x-\: \: \sin \: x\: =\: 0`

We solve for x:

`\begin{gathered} a\cdot\: (\cos\: x)/(\cos x)-\: \: (\sin\: x)/(\cos x)\: =\: (0)/(\cos x) \\ a-\tan x=0 \\ \tan x=a \\ x=\arctan (a) \end{gathered}`