首页 > 若sin(π+α)=35，则cos(-α)+sin(-α-π2)+1sin(3π-α)-cos(-α-π2)的值是______．-数学

若sin(π+α)=35，则cos(-α)+sin(-α-π2)+1sin(3π-α)-cos(-α-π2)的值是______．-数学

题目简介

若sin(π+α)=35，则cos(-α)+sin(-α-π2)+1sin(3π-α)-cos(-α-π2)的值是______．-数学

题目详情

若sin(π+α)=
3
5
，则
cos(-α)+sin(-α-
π
2
)+1
sin(3π-α)-cos(-α-
π
2
)
的值是______．
题型：填空题难度：偏易来源：不详

答案

∵sin（π+α）=-sinα=class="stub"3
5

∴sinα=-class="stub"3
5

cos(-α)+sin(-α-class="stub"π
2
)+1
sin(3π-α)-cos(-α-class="stub"π
2
)
=class="stub"cosα-cosα+1
sinα+sinα
=class="stub"1
2sinα
=-class="stub"5
6

故答案为：-class="stub"5
6
．

更多内容推荐

Copyright © 2018-2020 360优课网