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Mathematics
Hailie Savage
27 November, 11:05
Find the exact value of Cos 7pie/12
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Earl
27 November, 13:32
0
The value is ((square root 2) - (square root 6)) / 4
Step-by-step explanation:
We can find the value by breaking up the cos (7pi/12) into
cos (4pi/12 + 3pi/12)
This is the same thing as
cos (pi/3 + pi/4)
You can then rewrite that as
cos (pi/3) * cos (pi/4) - sin (pi/3) * sin (pi/4)
Then solve for each value
1/2 * ((square root 2) / 2) - ((square root 3) / 2) * ((square root 2) / 2)
Multiply each value that should be together
((square root 2) / 4) - ((square root 6) / 4)
Common denominators allow the answer to be further simplified to
((square root 2) - (square root 6)) / 4
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