Question

Math

Posted 4 months ago

```
The angle measures of $\triangle J K L$ are in radians.
What is the value of $\cos \left(\frac{\pi}{3}\right) ?$
Enter an exact value or round to the nearest hundredth.
$\cos \left(\frac{\pi}{3}\right)=$
$\square$
```

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Answer from Sia

Verified answer

Posted 4 months ago

Solution by Steps

step 1

Identify the angle for which we need to find the cosine value

step 2

Use the unit circle or trigonometric identities to find the cosine of the given angle

step 3

Recognize that $\cos\left(\frac{\pi}{3}\right)$ corresponds to the cosine of 60 degrees

step 4

Recall that $\cos(60^\circ) = \cos\left(\frac{\pi}{3}\right) = \frac{1}{2}$

[1] Answer

$\cos\left(\frac{\pi}{3}\right) = \frac{1}{2}$

Key Concept

Cosine of an angle in a right triangle

Explanation

The cosine of an angle in a right triangle is the ratio of the adjacent side to the hypotenuse. For angles of common measures, such as $\frac{\pi}{3}$ radians (60 degrees), the cosine value can be found using trigonometric identities or the unit circle. In this case, $\cos\left(\frac{\pi}{3}\right) = \frac{1}{2}$.

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