Question

If root 3 cot a equal to 3 then find the value of cos 2a

Answer 1

Pls mention some spellings properly

Answer 2

If root 3 cot a equal to 3 then the value of cos 2a is $\dfrac{1}{2}$

Step-by-step explanation:

Given $\sqrt{3}\textrm{cota}=3$

$\textrm{cota}=\frac{3}{\sqrt{3}}$

or $\textrm{cota}=\sqrt{3}$

or $\textrm{cota}=\textrm{cot} 30^{0}$

or $\textrm{a}=30^{0}$

Now $\textrm{cos 2a}=\textrm{cos}(2\times30^{0})=\textrm{cos}60^{0}=\frac{1}{2}$