Question 64

Find x if $$\cos x = -\frac{1}{2}$$, $$\frac{\pi\ }{4}<x<\pi\ $$

Solution

Given, $$\cos x = -\frac{1}{2}$$

$$=$$> $$x=\frac{2\pi\ }{3},\frac{4\pi\ }{3}$$

Since $$\frac{\pi\ }{4}<x<\pi\ $$

$$=$$> $$x=\frac{2\pi\ }{3}$$

Hence, the correct answer is Option D

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