求值sin29/6π cos31/4π tan(-1560°)

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求值sin29/6π cos31/4π tan(-1560°)
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求值sin29/6π cos31/4π tan(-1560°)
求值sin29/6π cos31/4π tan(-1560°)

求值sin29/6π cos31/4π tan(-1560°)
sin29/6π cos31/4π tan(-1560°)
=sin(4π+5/6π) cos(8π-1/4π )tan(-5*360°+240°)
=sin5/6π cos1/4π tan240°
=sin(π-1/6π) cos1/4π tan(180°+60°)
=sin1/6π cos1/4π tan60°
=1/2*√2/2*√3
=√6/4