Question

if √3sinx-cosx=0,then find the value of x

Answer 1

Answer:

√3sinx = cosx

√3 tanx = 1

tanx = 1/√3

x = π/6

Step-by-step explanation:

Answer 2

Answer:

$Value \:of \:x = 30\degree$

Step-by-step explanation:

$Given \:\sqrt{3}sinx -cosx=0$

$Divide\: each\: term\: by\\ \sqrt{3}cosx , \:we \:get$

$\implies \frac{ \sqrt{3}sinx}{\sqrt{3}cosx} -\frac{cosx}{\sqrt{3}cosx}=0$

$\implies \frac{sinx}{cosx}-\frac{1}{\sqrt{3}}=0$

$\implies tanx = \frac{1}{\sqrt{3}}$

$\implies tanx = tan30\degree$

$\implies x = 30\degree$

Therefore,

$Value \:of \:x = 30\degree$

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