> 数学 >
tanθ=2,则
sin(
π
2
+θ)−cos(π−θ)
sin(
π
2
−θ)−sin(π−θ)
=______.
人气:198 ℃ 时间:2019-12-21 22:30:11
解答
∵sin(
π
2
±θ
)=cosθ,cos(π-θ)=-cosθ,sin(π-θ)=sinθ
∴原式=
cosθ+cosθ
cosθ−sinθ
=
2
1−
sinθ
cosθ
=
2
1−tanθ
=
2
1−2
=-2
故答案为:-2
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