Using the exact values for the sine and cosine of both π/4 and π/6, and the angle difference identity for cosine, find the exact value of cos(π/12). (b) Use the exact value of cos(π/6) and the half-angle identity for sine to find the exact value of sin(π/12). (c) Use the standard trigonometric identity sin2 θ + cos2 θ = 1 to check the exact values you found in parts (a) and (b).

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