若cotθ=3,则cos2θ-1/2sin2θ的值为若cotθ=3,则cos2θ-(1/2)sin2θ的值为过程_数学解答

若cotθ=3,则cos2θ-1/2sin2θ的值为
若cotθ=3,则cos2θ-(1/2)sin2θ的值为
过程

人气：450 ℃　时间：2020-05-10 17:25:17

解答

cotθ=cosθ/sinθ=3
cosθ=3sinθ
(cosθ)^2=9(sinθ)^2
1-(sinθ)^2=9(sinθ)^2
(sinθ)^2=1/10
cos2θ-(1/2)sin2θ
=1-2(sinθ)^2-sinθcosθ
=1-2(sinθ)^2-3(sinθ)^2
=1-5(sinθ)^2
=1-5*1/10
=1/2