Question

value of
cos inverse 1 ( cos 14π/3)​

Answer 1

Answer:

value of

cos inverse 1 ( cos 14π/3)

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Look in the attachment♡

Answer 2

Answer:

$\frac{2\pi}{3}$

Step-by-step explanation:

Given that,

${ \cos }^{ - 1} ( \cos( \frac{14\pi}{3} ) )$

Just break it ;

${ \cos }^{ - 1} \cos( \frac{2\pi}{3} + \frac{12\pi}{3} )$

We get;

${ \cos }^{ - 1} \cos( \frac{2\pi}{3} + 4\pi)$

Now;

$\cos(4\pi +\theta \: ) = \cos(\theta)$

So;

${ \cos }^{ - 1} \cos( \frac{2\pi}{3} )$

We also Know that;

${ \cos }^{ - 1} \cos(\theta) = \theta$

So the Answer is;

$\frac{2\pi}{3}$

Hope it helps you!!