Question

The value of $\tan {75}^o=\frac{\sqrt{3}+1}{2\sqrt{2}}$.

• A. True
• B. False

Answer 1

The correct option is B False

Now,

$\tan {75}^o$

$=\tan ({30}^0+{45}^o)$

$=\frac{\tan {30}^o+\tan {45}^o}{1-\tan {30}^o.\tan {30}^o}$ [ Using formula of $\tan (A+B)$]

$=\frac{1+\frac{1}{\sqrt{3}}}{1-\frac{1}{\sqrt{3}}}$

$=\frac{\sqrt{3}+1}{\sqrt{3}-1}$.