Question

If cot theta - 1 / cot theta +1 =1-root 3 / 1+root 3. Find the acute angle for class 10 easy please

Answer 1

Answer:-

$\red{\boxed{ \theta = \frac{ \pi}{3} \: \: o r \: 60 \degree}}$

Explanation:-

Condition:-

Acute angles are less then 90°.

Solution :-

$\frac{ \cot( \theta) - 1}{ \cot( \theta) + 1} = \frac{1 - \sqrt{3} }{1 + \sqrt{3} } \\ \\ \big( \: \cot( \theta) - 1 \: \big) \big(1 + \sqrt{ 3 } \big) = \big( \: \cot( \theta) + 1 \: \big) \big(1 - \sqrt{ 3 } \big) \\ \\ \cot( \theta) + \sqrt{3} \cot( \theta) - 1 - \sqrt{3} = \cot( \theta) - \sqrt{3} \cot( \theta) + 1 - \sqrt{ 3} \\ \\ \sqrt{3} \cot( \theta) + \sqrt{3} \cot( \theta) = 1 + 1 \\ \\ 2 \sqrt{3} \cot( \theta) = 2 \\ \\ \cot( \theta) = \frac{1}{ \sqrt{3} } \\ \\ \implies \: \cot( \theta) = \cot( \frac{ \pi}{3} ) \\ \\ \implies \: \boxed{ \theta = \frac{ \pi}{3} \: \: o r \: 60 \degree}$

Hope it helps you.

Answer 2

Answer:

ans is 60 degrees thanks