How do you find the exact value of cos((11pi)/3)

patylomy7 2022-08-06 Answered
How do you find the exact value of cos ( 11 π 3 )?
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Answers (2)

Sanai Douglas
Answered 2022-08-07 Author has 13 answers
Given: cos ( 11 π 3 )
The cosine function has a period of 2 π . This means the values of the cosine repeat every period.
See if 11 π 3 is > 2 π
2 π 1 = 2 π 1 3 3 = 6 π 3
11 π 3 = 6 π 3 + 5 π 3 = 2 π + 5 π 3
Yes 11 π 3 is > 2 π
The equivalent cosine value of 11 π 3 is 5 π 3
On a trigonometric circle, the cos ( 5 π 3 ) = 1 2

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Maghrabimh
Answered 2022-08-08 Author has 5 answers
Explanation:
I'm not sure why we have an entire subject dedicated to just two right triangles (30,60,90 and 45,45,90) but we sure seem to.
cos ( 11 π 3 )
= cos ( 11 π 3 4 π )
= cos ( π 3 )
= cos ( π 3 )
= cos 60
= 1 2

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