sec[arcsin(1624/1625)]怎么解答?
更新时间:2021-12-31 11:37:18•作者:GRADY•阅读 5368
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sec(arcsin(3/4))怎么解答
解:令arcsin(3/4)=α,
则,sinα=3/4.
cosα=√(1-sin^2α)=√7/4,
secα=1/cosα,
=1/(√7/4),
=4√7/7,
∴sec(arcsin(3/4)=4√7/7.
![sec[arcsin(1624/1625)]怎么解答?](https://image.zuidongwo.com/picture/pic7518.jpg)
解:令arcsin(3/4)=α,
则,sinα=3/4.
cosα=√(1-sin^2α)=√7/4,
secα=1/cosα,
=1/(√7/4),
=4√7/7,
∴sec(arcsin(3/4)=4√7/7.