Question

Given Cos A =1/2 , Evaluate Cot2A
PLEASE ANSWER IT CORRECTLY
I WILL MARK AS BRAINLIEST
SURELY

Answer 1

$Cos A = \frac{1}{2 } \:(given)$

$\implies Cos A = Cos 60\degree$

$\implies A = 60 \degree \: --(1)$

$Now ,\red{ Value \: of \: Cot 2A } \\= Cot \: ( 2 \times 60 ) \:[From \:(1) ]\\= Cot \:120 \degree \\= Cot ( 90 + 30 ) \\= - tan 30\degree \\= - \frac{1}{\sqrt{3}}$

Therefore.,

$\red{Value \: of \: Cot 2A }\green {= - \frac{1}{\sqrt{3}}}$

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