Question

If v 3 sin A - cos A = 0 and O<A<90, then A
O
15
o
45
O
30
o
60​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

Given,

$\sf \sqrt{3} \sin(x) - \cos(x) = 0$

$\sf \implies \sqrt{3} \sin(x) = \cos(x)$

$\sf \implies \tan(x) = \frac{1}{ \sqrt{3} }$

$\sf \implies x = \tan^{ - 1} ( \frac{1}{ \sqrt{3} } )$

$\sf \implies x = 30 \degree$

Hence,

• $\sf x = 30 \degree$