Question

The value of $sec\frac{2\pi }{3}+cosec\frac{5\pi }{6}$ is equal to

• A. $2$
• B. $-2$
• C. $4$
• D. $0$

Answer 1

Answer: (D)

$sec\frac{2\pi }{3}+cosec\frac{5\pi }{6}$
$=sec\left(\pi -\frac{\pi }{3}\right)+cosec\left(\pi -\frac{\pi }{6}\right)$
$=-sec\frac{\pi }{3}+cosec\frac{\pi }{6}$
$=-2+2=0$