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比较下列各组三角函数值的大小1)sin(-3π/8)与sin(-5π/8)2)sin(-2π/7)与sin(-3π/8)3)cos(-2π/5)与cos(-3π/5)4)cos(-2π/3)与cos(-3π/5)
人气:147 ℃ 时间:2020-06-18 18:01:04
解答
(1)
sin(-3π/8)=-sin(3π/8)
sin(-5π/8)=-sin(5π/8)=-sin(3π/8)
∴ sin(-3π/8)=sin(-5π/8)
(1)
sin(-3π/8)=-sin(3π/8)
sin(-5π/8)=-sin(5π/8)=-sin(3π/8)

∴ sin(-3π/8)=sin(-5π/8)(2)∵ y=sinx在(-π/2,0)上是增函数
∵ -2π/7>-3π/8
∴ sin(-2π/7)y=cosx在(-π,0)上是增函数
∵ -2π/5>-3π/5
∴ cos(-2π/5)>cos(-3π/5)

(4)cos(-2π/3)与cos(-3π/5)

y=cosx在(-π,0)上是增函数
∵ -2π/3<-3π/5
∴ cos(-2π/3)
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