计算 sin5π/8*cos(7/8)π+sinπ/8-cos(3/8)π

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计算 sin5π/8*cos(7/8)π+sinπ/8-cos(3/8)π
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计算 sin5π/8*cos(7/8)π+sinπ/8-cos(3/8)π
计算 sin5π/8*cos(7/8)π+sinπ/8-cos(3/8)π

计算 sin5π/8*cos(7/8)π+sinπ/8-cos(3/8)π
sin5π/8*cos(7/8)π+sinπ/8cos(3/8)π
=-sin3/8π*cos(1/8)π+sinπ/8cos(3/8)π
=sinπ/8cos(3/8)π-sin3/8π*cos(1/8)π
=sin(π/8-3/8π)
=sim(-π/4)=-根号下2/2