Question

If tan x = 3 cot x, then x = ?​

Answer 1

Answer :-

Given :-

• tan x = 3 Cot x

$tan \: x \: = 3 \: cot \: x$

$\frac{tan \: x}{cot \: x} = 3$

We know that

• $cot \: x \: = \frac{1}{tan \: x}$

$\frac{tan \: x}{ \frac{1}{tan \: x} } = 3$

$tan \: x \: \times \: tan \: x = 3$

${tan}^{2} x \: = 3$

$tan \: x = \sqrt{3}$

$tan \: x = tan \: </strong><strong>6</strong><strong>0$

$</strong><strong>\</strong><strong>boxed{</strong><strong>x</strong><strong> = </strong><strong>6</strong><strong>0</strong><strong>}</strong><strong>$

Answer 2

$\huge\color{red}\mathfrak{answer}$

$= > x = 60$

HOPE IT'S HELPFUL.....:-)