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求y=1/tan(2x-π/4)的定义域f(sinα)=cos17α,求(cosα)
题目详情
求y=1/tan(2x-π/4)的定义域
f(sinα)=cos17α,求(cosα)
f(sinα)=cos17α,求(cosα)
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答案和解析
tan(2x-π/4)有定义,且不为零
所以kπ-π/2<2x-π/4 解得定义域为:x不等于kπ/4+π/8(k为整数)
f(cosα)=f(sin(/2π-α))=cos17(π/2-α)=cos(π/2-17α)=sin17α
所以kπ-π/2<2x-π/4
f(cosα)=f(sin(/2π-α))=cos17(π/2-α)=cos(π/2-17α)=sin17α
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