Find the exact value of Cos 7pie/12

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

4038

step-by-step explanation:

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step-by-step explanation: