化简 (sin^2(a+π)cos(2π-a)cot(a-2π))/(tan(π-a)cos^3(-a-π))
问题描述:
化简 (sin^2(a+π)cos(2π-a)cot(a-2π))/(tan(π-a)cos^3(-a-π))
答
(sin^2(a+π)cos(2π-a)cot(a-2π))/(tan(π-a)cos^3(-a-π))
=(sin^2(a)cosa*cosa/sina)/(-sina/cosa*cos^3(a))
=(sina*cos^2(a))/(-sina*cos^2(a))
=-1