tan67°30'-tan22°30'=?

问题描述:

tan67°30'-tan22°30'=?
不用计算机,简便的!

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