Question

please help it's my test ​

Answer 1

Answer:

hey here is your solution

pls mark it as brainliest

Step-by-step explanation:

$so \: here \\ cot( \frac{\pi}{3} - 2.cot {}^{ - 1} . (\frac{1}{ \sqrt{3} }) ) \\ \\ = cot( \frac{180}{ 3} - \frac{2}{cot} \times \frac{1}{ \sqrt{3} } ) \\ \\ = cot(60 - \frac{2}{cot} \times \frac{1}{ \sqrt{3} } ) \\ \\ = cot(60 - \frac{2}{ \sqrt{3}.cot } ) \\ \\ = cot \: 60 - \frac{2.cot}{ \sqrt{3} .cot} \\ \\ = cot \: 60 - \frac{2}{ \sqrt{3} } \\ \\ = \frac{1}{ \sqrt{3} } - \frac{2}{ \sqrt{3} } \\ since \: cot \: 60 = \frac{1}{ \sqrt{3} } \\ \\ = \frac{1 - 2}{ \sqrt{3} } \\ \\ = \frac{ - 1}{ \sqrt{3} } \\ \\ = - \frac{1}{ \sqrt{3} } \\ \\ hence \: option \: (C) \: is \: ryt$