sinθ/2=√(x-1/2x) ,tanθ=?

问题描述:

sinθ/2=√(x-1/2x) ,tanθ=?

sin^2(a/2)=(x-1)/(2x)
1-2sin^2(a/2)=(1-x)/x+1=1/x=cosa
cos^2a=1/x^2
sin^2a=1-cos^2a=(x^2-1)/x^2
tan^2a=(x^2-1)
tana=√(x^2-1)
回答完毕!