cos2x-sin2x化简为一角一函数怎么化?
人气:413 ℃ 时间:2020-06-26 16:58:10
解答
cos2x-sin2x
=√2*(cos2x*√2/2 - sin2x*√2/2)
=√2*[cos2x*cos(π/4) - sin2x*sin(π/4)]
=√2*cos(2x+ π/4)我做出来答案是-√2*sin(2x- π/4)对吗?正确!cos2x-sin2x=√2*(cos2x*√2/2 - sin2x*√2/2)=√2*[cos2x*sin(π/4) - sin2x*cos(π/4)]=-√2*[sin2x*cos(π/4) - cos2x*sin(π/4)]=-√2*sin(2x- π/4)如果tanA=-1,A=()A=-π/4 + kπ,k属于Z
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