求正弦、余弦、正切函数的单增单减区间.

问题描述:

求正弦、余弦、正切函数的单增单减区间.

正弦函数:【-π/2+2Kπ,π/2+2Kπ】增 ,【π/2+2Kπ,3π/2+2Kπ】减
余弦:【2Kπ,π+2Kπ】减,【-π+2Kπ,2Kπ】增
正切:(-π/2+Kπ,π/2+Kπ)增 只有增

正弦:在(-π/2+2Kπ,π/2+2Kπ)增,(π/2+2Kπ,3π/2+2Kπ)减
余弦:在(2Kπ,π+2Kπ)减,(-π+2Kπ,2Kπ)增
正切:在(-π/2+Kπ,π/2+Kπ)增

晕,
sinx 单增[-π/2+kπ,π/2+kπ],单减[π/2+kπ,π/2+(k+1)π],
cosx 单增[-π+kπ,kπ],单减[kπ,(k+1)π],
tanx 单增[-π/2+kπ,π/2+kπ],