> 数学 >
数学证明sin^2 αtan^2 α=tan^2 α-sin^2 α
人气:300 ℃ 时间:2020-07-18 11:40:16
解答
左边=sin^2 αtan^2 α=sin^2 α*(sin^2 α/cos^2α)=sin^4α/cos^2α
右边=tan^2 α-sin^2 α=(sin^2 α/cos^2α)-sin^2 α=(sin^2 α/cos^2α)-(sin^4/cos^2α)=(sin^2α-sin^4α)/cos^2α=sin^2α(1-cos^2α)/cos^2α=sin^4α/cos^2α=左边
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版