已知cos(π⼀4-α)=1⼀3则cos눀(3π⼀4+α)-sin(π⼀4+α)的值为

2025-03-23 11:06:23
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回答1:

cos(π/4-α)=1/3
cos[π/2-(π/4+α)]=1/3
sin(π/4+α)=1/3
cos²(3π/4+α)-sin(π/4+α)
=cos²[π/2+(π/4+α)]-sin(π/4+α)
=sin²(π/4+α)-sin(π/4+α
=1/9-1/3
=-2/9