what is x if the equation is 2(tan-1(x/160)) = tan-1(x/60) ?
2⋅[arctan(x160)]=arctan(x60)|φ=arctan(x160)2⋅φ=arctan(x60)|tan()tan(2⋅φ)=x60tan(2⋅φ)=2⋅tan(φ)1−[tan(φ)]2 tan(2⋅φ)=2⋅tan(arctan(x160))1−[tan(arctan(x160))]2 tan(2⋅φ)=2⋅x1601−(x160)2 2⋅x1601−(x160)2=x6011−(x160)2=431−(x160)2=34(x160)2=14|±√x160=±0.5x=±0.5⋅160x1=80x2=−80
what is x if the equation is 2(tan-1(x/160)) = tan-1(x/60) ?
2⋅[arctan(x160)]=arctan(x60)|φ=arctan(x160)2⋅φ=arctan(x60)|tan()tan(2⋅φ)=x60tan(2⋅φ)=2⋅tan(φ)1−[tan(φ)]2 tan(2⋅φ)=2⋅tan(arctan(x160))1−[tan(arctan(x160))]2 tan(2⋅φ)=2⋅x1601−(x160)2 2⋅x1601−(x160)2=x6011−(x160)2=431−(x160)2=34(x160)2=14|±√x160=±0.5x=±0.5⋅160x1=80x2=−80