2 years ago

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Mathematics

1 answer:

Elena-2011 [213]2 years ago

3 0

Answer:

the answer is c

Step-by-step explan

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Find the exact value of cos 120° in simplest form with a rational<br> denominator.

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Given:

cos 120°

To find:

The exact value of cos 120° in simplest form with a rational denominator.

Solution:

We have,

$\cos 120^\circ$

It can be written as

$\cos 120^\circ=\cos (90^\circ+30^\circ)$

$\cos 120^\circ=-\sin 30^\circ$ $[\because \cos (90^\circ-\theta)=-\sin \theta]$

$\cos 120^\circ=-\left(\dfrac{1}{2}\right)$ $[\because \sin 30^\circ=\dfrac{1}{2}]$

$\cos 120^\circ=-\dfrac{1}{2}$

Therefore, the exact value of cos 120° is $-\dfrac{1}{2}$ .

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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