>
数学
>
(tan^2α-cot^2α)/(sin^2α-cos^2α)=sec^2α•csc^2α
人气:144 ℃ 时间:2019-11-18 07:03:30
解答
(tan²α-cot²α)/(sin²α-cos²α)
=(sin²α/cos²α-cos²α/sin²α)/(sin²α-cos²α)
=(sin⁴α-cos⁴α)/[sin²αcos²α(sin²α-cos²α)] 这一步是分子分母同乘以sin²αcos²α
=(sin²α+cos²α)(sin²α-cos²α)/[sin²αcos²α(sin²α-cos²α)] 注意sin²α+cos²α=1
=1/(sin²αcos²α)
=sec²αcsc²α,等式成立.
推荐
(tan^2α-cot^2α)/(sin^2α-cos^2α)=sec^2α•csc^2α
关于sin,cos,tan,cot,csc,sec之间的关系
sin cos tan cot sec csc是什么
证明tan^2α-cot^2α/sin^2α-cos^2α=sec^2α+csc^2α
请问sin/cos/tan/cot/sec/csc 这些数学符号怎么读?
1:i ( )the boys' 800-meter race last year:2:it is ( )dangerous to walk here
有一个数,增加它的8分之1以后,又减少新数的8分之1,结果是原数的百分之几?
七年级下册数学几何图形证明
猜你喜欢
___is known to us all is that the earth is smaller than the sun.
1.We played the game _____the rules A on account B ahead of C according to D apart from 2.After th
people who have cars would never like to walk in the open air
两车同时从甲地出发开往乙地,小轿车3小时到达终点货车5小时到达终点,小轿车每小时行80千米货车每小时
已知函数f(x)=2sin²(π/4+x)-根号3cos2x
小明每天早上要在7:50之前赶到距家1000米的学校上学.一天,小明以80m/分的速度出发,5分钟后,小明的爸
英语翻译
氢气管道支架安装要求
© 2024 79432.Com All Rights Reserved.
电脑版
|
手机版