求值:cos²80°+sin²50°-sin190°·cos320°

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 08:23:48
求值:cos²80°+sin²50°-sin190°·cos320°求值:cos²80°+sin²50°-sin190°·cos320°求值:cos²

求值:cos²80°+sin²50°-sin190°·cos320°
求值:cos²80°+sin²50°-sin190°·cos320°

求值:cos²80°+sin²50°-sin190°·cos320°
cos²80°+sin²50°-sin190°·cos320°
=cos²80°+sin²50°+sin10°·cos40°
=(1-cos20)/2+(1+cos80)/2+sin10*cos40
=1+(cos80-cos20)/2+(1/2)[sin(-30)+sin50]
=1-sin50sin30-1/4+(1/2)sin50
=3/4

cos²80°+sin²50°-sin190°·cos320°
=cos²80°+sin²50°+sin10°·cos40°
=(1-cos20)/2+(1+cos80)/2+sin10*cos40
=1+(cos80-cos20)/2+(1/2)[sin(-30)+sin50]
=1-sin50sin30-1/4+(1/2)sin50
=3/4