Question 53

If cosec -4π/3 = x, then the value of x is

Solution

Expression : cosec -4π/3 = x

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

= $$-cosec(\frac{4\pi}{3})$$

= $$-cosec(\pi + \frac{\pi}{3})$$

= $$-[-cosec(\frac{\pi}{3})] = cosec(\frac{\pi}{3})$$

= $$\frac{2}{\sqrt{3}}$$

=> Ans - (B)

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