Question

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

• A. 2
• B. -2
• C. 4
• D. -4
• E. 0

Answer 1

Answer: (E)

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