Ответы на вопрос:
cos 5π/12 - cos π/12 + sin(arccos 1/2) =
= cos (π/12 + 4π/12) - cos π/12 + sin π/3 =
= cos π/12· cos π/3 - sin π/12· sin π/3 - cos π/12 + sin π/3 =
= 0.5cos π/12 - 0.5√3 sin π/12 - cos π/12 + sin π/3 =
= -0.5cos π/12 - 0.5√3 sin π/12 + sin π/3 =
= - (cos π/3 · cos π/12 + sin π/3 · sin π/12) + sin π/3 =
= - cos (π/3 - π/12) + sin π/6 = - cos π/4 + sin π/3 =
= -0.5·√2 + sin π/3 = -0.5·√2 + 0.5·√3 = 0.5 (√3 - √2)
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