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ludmilkaskok [199]
2 years ago
5

16. Solve for the angle x. cos(¹/2x) = ¹/2

Mathematics
1 answer:
Basile [38]2 years ago
6 0

Answer:

We know that ,

\rightarrow \tt \cos( \frac{\pi}{3} )  =  \frac{1}{2}

So ,

\:  \rightarrow \tt \cos( \frac{1}{2}x )    =  \cos( \frac{\pi}{3} )  \\  \\   \rightarrow \tt \frac{1}{2}.x =  \frac{\pi}{3}  \\  \\ \rightarrow \tt x =  \frac{2\pi}{3}

we can add 2 pi to it since there will be no change in the value

Also,

\: \rightarrow \tt  \cos( \frac{14\pi}{6} )  =  \frac{1}{2}  \\  \\  \\ \rightarrow \tt \frac{1}{2}  x =  \frac{14\pi}{6}  \\  \\ \rightarrow \tt x =  \frac{7\pi}{3}

Answer : Option B

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