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已知tana=2,a属于(派,3派/2),求值(1)sin(-派/2-a) (2)sin(派+a)+2sin(3派/2+a)/cos(3派-a)+1
人气:182 ℃ 时间:2019-10-19 21:56:18
解答
tana = 2
sina = -2√5/5
cosa = -√5/5
(1)
sin(-π/2-a) = cosa = -√5/5
(2)
sin(π+a)+2sin(3π/2+a)/cos(3π-a)+1
=-sina+ 2(-cosa) /(-cosa) +1
= -sina+3
= 2√5/5 +3
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