tan67°30'-tan22°30'=?不用计算机,简便的!

问题描述:

tan67°30'-tan22°30'=?
不用计算机,简便的!

cot22°30'-tan22°30'
=2/sin45°
=2根号2

tan67°30'-tan22°30'
=tan67°30'-cot67°30'
=(sin^267°30'-cos^267°30')/(sin67°30'cos67°30')
=-cos135°/sin135°
=-1