请问在题目中碰到tan²(90°-x)该怎么办?怎么化成一次?
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请问在题目中碰到tan²(90°-x)该怎么办?怎么化成一次?
请问在题目中碰到tan²(90°-x)该怎么办?怎么化成一次?
请问在题目中碰到tan²(90°-x)该怎么办?怎么化成一次?
tan^2(90°-x)
=ctan^2(x)
=cos^2(x)/sin^2(x)
=[(cos2x+1)/2]/[(1-cos2x)/2]
=(1+cos2x)/(1-cos2x)
=2/(1-cos2x)-1
tan(π/2-α)=cotα 应该是这样的吧!
由tan(90°-x)
=sin(90°-x)/cos(90°-x)
=cos(x)/sin(x)
=1/tan(x)=sinx/cosx
则原式为(sinx)^2/(cosx)^2=1/(cosx)^2-1=2/(cos2x+1)-1