化简:(1)、tan(2π+α)tan(π+α)cos(-π-α)的3次方分之sin(-α)的平方乘以cos(π+α);
问题描述:
化简:(1)、tan(2π+α)tan(π+α)cos(-π-α)的3次方分之sin(-α)的平方乘以cos(π+α);
(2)、cos(π-α)tan(3π-α)分之sin(2π-α)tan(π+α).)
答
⑴、原式=[(-sina)^2*(-cosa)]/[tana*tana*(-cosa)^3]
=sin^2a/(tan^2a*cos^2a)
=sin^2a/sin^2a
=1;
⑵、原式=[(-sina)*tana]/(-cosa)*[(-tana)]
=-sina/cosa
=-tana.