Question 52

If sec -5π/4 = x, then the value of x is

Solution

Expression : sec -5π/4 = x

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

= $$sec(\frac{-5\pi}{4}) = sec(\frac{5 \pi}{4})$$

= $$sec(\pi + \frac{\pi}{4}) = -sec(\frac{\pi}{4})$$

= $$-\sqrt{2}$$

=> Ans - (B)


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