问题
解答题
(1)已知tanθ=-
(2)化简:
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答案
(1)∵tanθ=-
,1 2
∴原式=
=(sinθ+cosθ)2 sin2θ-cos2θ
=(sinθ+cosθ)2 (sinθ+cosθ)(sinθ-cosθ)
=sinθ+cosθ sinθ-cosθ
=tanθ+1 tanθ-1
=--
+11 2 -
-11 2
;1 3
(2)原式=
=tanα.(-sinα)•(-sinα) (sinα)(cosα)