> 数学 >
已知cos(75°+θ)=1/3,θ为第三象限角,求值:cos(-255°-θ)+sin(435°+θ)
人气:289 ℃ 时间:2020-01-30 02:33:45
解答
cos(-255°-θ)+sin(435°+θ)=cos(255°+θ)+sin(360°+75°+θ) =cos(180°+75°+θ)+sin(75°+θ) =-cos(75°+θ)+sin(75°+θ) θ为第三象限角,75°+θ为第三或第四象限角 sin(75°+θ)=-根号(1-cos^2[(75°+θ)])=-(2根号2)/3 cos(-255°-θ)+sin(435°+θ)=-1/3-(2根号2)/3
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版