Question

find the exact value of x=cos(pi/12)

Answer 1

so you need to difference of 2 angles

\[\frac{\pi}{4} - \frac{\pi}{6} = \frac{\pi}{12}\]

then using the difference of 2 angles in cos you can use

\[\cos(\frac{\pi}{4} - \frac{\pi}{6}) = \cos(\frac{\pi}{4})\times \cos(\frac{\pi}{6}) + \sin(\frac{\pi}{4}) \times \sin(\frac{\pi}{6})\]

now you can substitute exact values for the ratios.

hope it helps

Answer 2

So the answer would be \[\sqrt{2}/2\]?

Answer 3

Thank you!

Answer 4

no....



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