Question

Solve $\tan 5^o\times \tan {30}^o\times 4\tan {85}^o$

• A. $\frac{4}{\sqrt{3}}$
• B. $4\sqrt{3}$
• C. $1$
• D. $4$

Answer 1

Answer: (A)

$\frac{4}{\sqrt{3}}$

$tan{5}^o\times tan{30}^o\times 4tan{85}^o$

$⟹tan{5}^o\times tan{30}^o\times 4cot{5}^o$

$⟹4tan{30}^o$

$⟹\frac{4}{\sqrt{3}}$