Question

The value of the expression $\sqrt{3}\csc {20}^o-\sec {20}^o$ is equal to

• A. $2$
• B. $2\sin {20}^o/\sin {40}^o$
• C. $4$
• D. $4\sin {20}^o/\sin {40}^o$

Answer 1

Answer: (C)

$4$

Given expression,

$\sqrt{3}\csc 20-\sec 20=\sqrt{3}\times \frac{1}{\sin 20}-\frac{1}{\cos 20}$

$=\sqrt{3}\times \frac{1}{0.342}-\frac{1}{0.940}$

$=4$