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新编人教版精品教学资料1sin 95cos 175的值为()Asin 5Bcos 5来源:数理化网C0 D2sin 5解析:选C.原式cos 5cos 50.2下列与sin()的值相等的式子为()Asin() Bcos()来源:www.shulihua.netCcos() Dsin()解析:选D.sin()cos ,经验证知只有sin()cos .3若sin()cos()m,则cos()2sin(6)()A B.C. D解析:选D.sin()cos()sin sin m,sin .而cos()2sin(6)sin 2sin 3sin .4已知f(x)sin x,下列式子中成立的是()Af(x)sin x Bf(2x)sin x来源:www.shulihua.netwww.shulihua.netCf(x)cos x Df(x)f(x)解析:选C.f(x)sin(x)sin x,f(2x)sin(2x)sin x,f(x)sin(x)sin(x)cos x,f(x)sin(x)sin xf(x),来源:www.shulihua.net故选C.5已知为锐角,2tan()3cos()50,tan()6sin()10,则sin 的值是()A. B.C. D.解析:选C.由已知可得2tan 3sin 50,tan 6sin 10.tan 3,又tan ,9,sin2,为锐角,sin ,故选C.6已知cos(),且|,则tan _.解析:cos()sin .sin ,又|0,cos 0,原式1.答案:19化简:(1)sin()cos();(2)sin(5)cos()sin()cos(2)解:(1)原式sin()(sin )sin()(sin )(cos )(sin )cos2.(2)原式sin()cos()cos cos(2)sin()cos()cos cos(2)sin()sin cos cos sin2cos21.10已知sin(x),求sin2(x)sin(x)的值来源:www.shulihua.net解:sin2(x)sin(x)sin2(x)sin(x)cos2(x)sin(x)1sin2(x)sin(x)1.
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