求值:⑴sin(-19π/3)*cos(19π/6)

求值:⑴sin(-19π/3)*cos(19π/6)
⑵cos(-585°)/[sin(-330°)+tan495°]
已知log2sina=-1且a∈[0,2π),求a的值
兔娇娇 1年前 已收到1个回答 举报

湖心泛月归 春芽

共回答了19个问题采纳率:89.5% 举报

sin(-19π/3)*cos(19π/6)
=-sin(19π/3)*cos(19π/6)
=-sin(6π+π/3)*cos(3π+π/6)
=-sin(π/3)*(-cosπ/6)
=√3/2*√3/2
=3/4
cos(-585°)/[sin(-330°)+tan495°]
=cos(-585°+720°)/[sin(-330°+360°)+tan(495°-540°)]
=cos(135°)/[sin(30°)+(tan-45°)]
=-cos(135°-180°)/[sin(30°)-(tan45°)]
=-√2/2*/[1/2-1]
=√2
log2sina=-1
sina=2^(-1)=1/2
又a∈[0,2π)
a=π/6 或 5π/6

1年前

7
可能相似的问题
Copyright © 2024 YULUCN.COM - 雨露学习互助 - 16 q. 2.722 s. - webmaster@yulucn.com