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Question
Math
Posted 4 months ago

The angle measures of JKL\triangle J K L are in radians.

What is the value of cos(π3)?\cos \left(\frac{\pi}{3}\right) ?
Enter an exact value or round to the nearest hundredth.
cos(π3)=
\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(π3)\cos\left(\frac{\pi}{3}\right) corresponds to the cosine of 60 degrees
step 4
Recall that cos(60)=cos(π3)=12\cos(60^\circ) = \cos\left(\frac{\pi}{3}\right) = \frac{1}{2}
[1] Answer
cos(π3)=12\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 π3\frac{\pi}{3} radians (60 degrees), the cosine value can be found using trigonometric identities or the unit circle. In this case, cos(π3)=12\cos\left(\frac{\pi}{3}\right) = \frac{1}{2}.

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