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