化简[sin(3π/2+a)sin(a-5π/2)tan(2π-a)tan(π+a)]/2cos(π/2+a)cos(5π/2-a)
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化简[sin(3π/2+a)sin(a-5π/2)tan(2π-a)tan(π+a)]/2cos(π/2+a)cos(5π/2-a)
化简[sin(3π/2+a)sin(a-5π/2)tan(2π-a)tan(π+a)]/2cos(π/2+a)cos(5π/2-a)
化简[sin(3π/2+a)sin(a-5π/2)tan(2π-a)tan(π+a)]/2cos(π/2+a)cos(5π/2-a)
sin(3π/2+a)=-cosa
sin(a-5π/2)=-cosa
tan(2π-a)=-tana
tan(π+a)=tana
cos(π/2+a)=-sina
cos(5π/2-a)=sina
原式
=(cos²a*(-tan²a)/(-2sin²a)
=sin²a/(2sin²a)
=1/2
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