Question 78

What is the value of cosec -7π/6?

Solution

Expression : cosec -7π/6

$$\because cosec(-x) = -cosec (x)$$

=> $$cosec(\frac{7\pi}{6}) = -cosec(\frac{7\pi}{6})$$

= $$-cosec(\pi + \frac{\pi}{6})$$

= $$-[-cosec(\frac{\pi}{6})] = cosec(\frac{\pi}{6})$$

= $$2$$

=> Ans - (B)

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