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已知向量=(,),=(cosx,sinx),x∈(0,).(1)若∥,求sinx和cos2...
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已知向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVDhP3VO5EQMhDFRdF6icy9UJsQpxSiEE
KmUt2RiOM3OMZxx4LCARu6sHQbi0grQnlAOGrgl+WxK2/dZg5Ib12ZBqmM8jfL+Gk+I6pX8nZHk9
oiBnAUl+63rtkkGZwGoVkCE+ARM8HoRQ7uDwhACj8YfhMwWzOuRgM1+9JlOeqJ8jdjEa03nmThTp
GHxPio7wbcS9O746aUZY/qAR8IPDdwc+xLsdewqvaAAAAABJRU5ErkJggg==
)
=(
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
uc2L2WEmxphgi22BTxYWFpg4gVysx6wUyg6g7KeCWuX884JdpNChbtZTrJVePNg6pzgauzsDdI6w
KFEtMEUoEs+hgoeKTboITSlKUsJUuxcm1KGMvwi6jHD9hfKbWV0/9WmiMBfiku27udhHY5yJhhCd
55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVEhL1ZY9DsMgDIV9LgaOk52bMHMQVg6S
gaO4mNIA5jdROzRSpaiCz88P/BTAzgMAuPOjrTAC9P7vrv0TgFPZE+Uq0RseOFTXpvAeDC4Za4D3
6IuaTt0FFJu9kQj3WyCCRyPT3XgGSDK8QRk8kCY3BWiP5PBxiaVbOHp4G2CtjWu1ABT6jO8zANKR
Fm3kUlHJW8UYQF5ILDqoZ+EI0klFCYiSr+GqNzfDdGqBIPS8BWZO4xapmHqwAixN3AHsZkEqtpc+
vYRqTLxT+bN2fOU2aT8ClAkkTZUHXFirgCaOJRDPgBLSALxzVcV4lScq1h6w6Vu3wFbwDLwHqPzo
n+ukBZp9hW5xH4YAp9rZ77G6AHK+Ct9gJAvjnJ+cSqa1gzNuZX2MTz3YnKX+B8bu5q/kwQut7P6b
b/Nk4wAAAABJRU5ErkJggg==
)
),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACySURBVDhPrVO7EYUgEKQuA8oxv06Ir5CXUggB
pezjHsigHKBvZMbAYff2c2owPQFudwgNxswJ6TY4bPunwkw6WD8bXJF5rvB+hsvEtaURwVMJT37q
8qQQ2WKBR0OIYEuYz0dDiAy7Gp/MVoVsx4OORVpGVNIUgtiR0Iel/K4JZoJiR1obEvp2RMGCFU9J
QWnHE8ygANPZEXDN0qf+ZahbloaebHr5M7V7uAMWzP9f612FL960uYg38Ff7AAAAAElFTkSuQmCC
)
=(cosx,sinx),x∈(0,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADHSURBVDhPzVPRDcUgCGQyd2IdlmEURuEpoEHL
a/rzXmrSRO0F7rgT9MGCBxh9KYgVARSKr5GYLmBE5b4RQrU7IW2N1H/7WuoYm4MYFWqQKDWvaCC0
3VFptIDZtlWgUaUTjxZCHRR7JgpOVgV0KjHioXR2faUtlR35bpv4Xfh+oW54NuNSGjymvEyNfCWT
jZMwb/nJ/n1Xd8SlVMcImiN1BW38jvj6MSW0yrgnN3J+jH+1G4q2aHfyW+gG0avR8TDyk/q3wTf9
Pmk3Xj4tXoBsAAAAAElFTkSuQmCC
)
).
(1)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVDhP3VO5EQMhDFRdF6icy9UJsQpxSiEE
KmUt2RiOM3OMZxx4LCARu6sHQbi0grQnlAOGrgl+WxK2/dZg5Ib12ZBqmM8jfL+Gk+I6pX8nZHk9
oiBnAUl+63rtkkGZwGoVkCE+ARM8HoRQ7uDwhACj8YfhMwWzOuRgM1+9JlOeqJ8jdjEa03nmThTp
GHxPio7wbcS9O746aUZY/qAR8IPDdwc+xLsdewqvaAAAAABJRU5ErkJggg==
)
∥
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACySURBVDhPrVO7EYUgEKQuA8oxv06Ir5CXUggB
pezjHsigHKBvZMbAYff2c2owPQFudwgNxswJ6TY4bPunwkw6WD8bXJF5rvB+hsvEtaURwVMJT37q
8qQQ2WKBR0OIYEuYz0dDiAy7Gp/MVoVsx4OORVpGVNIUgtiR0Iel/K4JZoJiR1obEvp2RMGCFU9J
QWnHE8ygANPZEXDN0qf+ZahbloaebHr5M7V7uAMWzP9f612FL960uYg38Ff7AAAAAElFTkSuQmCC
)
,求sinx和cos2x的值;
(2)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAWCAYAAADXYyzPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAETSURBVEhL7VVBEoMgDORdPfAc7/yEMw/plYd4
4ClbIkKLQMJYZ9rOlNGDmuxmNwEV2LXCLhYrHyR87WMoEXO1uC13MYyvv8VQcUG+b7CMbDmfOGqM
zyn+3h6/191htmz1LxB7sw+q8WK5lysOTmOCFyeIA5weKaNvBrJenCD2ptr3lbrgoGfkxkZUikuP
VKyaCHogDHGy2cPkQ0k7hEG3d+Jkn3Y5LCWPiu8PUW5Btjo9jzA2YgJ6ktIbStIodYgzSimtzYQ7
JqaEoyW9dwJ5O8188YoSWrVHByTJnWkezcgOpWqb82CQzQHxmltHm7cB5LeV2npTfo0U/Eo+x5vn
pPweJ7bUiQNkvhgu8k98jY8TKA8X4F/16RORzAAAAABJRU5ErkJggg==
)
=2cos(
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAAjCAYAAAAnvgICAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIwSURBVGhD7ZnREYMgDIadjJ1YhwU6BqMwCiUE
MUCgcigeZ3vni61JvuQnYLrZF362FzLbMWgt7bZt7hJWmXXSd0AbZQUXfARzcELZgg2e4+5flYNa
XP4+JNxdUnd5Q+haxcBwNKitZBwYJbqdFhE6/2zcVSW5WGKiMa4ebiJveDiVqdE6qawHzKqqZZ9D
tiQ1aKxIEZc1JomrN4YmNFeRVEoQkHRhuQ+Vm8u8UB9UBnOJvAH0QtPAQA1JmYMiG367oIuMgkMq
M+JcS0yGURKbXLb2wRaXELwXElmrdICONjr8wqPnoZP1jV5B7r5qfu3RQI9SaBmWTJKgTEMjlQ4K
y9XT8nsS2lglcii4R6rFdnDyXCFDAj4CHZKf9pq231PQMWu0QD7DIRG+0sxeTX7T7PKD0F5pdF3/
8PsTGoJN+wRuLykENg+UmMuy8qsZlRAUQDu/Vtl+PwSNfo4Y236PNZ113t0A32ywunlT81D0dJav
NeLj9J5aies4V+DySuyd8Dt2DC32tDVu/KHXqNN4lO+sdP1U1DoxrftddiIbl80qFt4p71Wqc2Wc
z1U6Hjzmj5oegcbT23zYXS3zoRuvoVdKuGVrMnR4OXADhn2rPH0OvzAjc6FDlaWbve1DiCdkPhW6
HCz2TzKvKPjD0Cj3YlB4BVnDxlTocpaWDwBupg3m50Lv05RjSsH/a3Iz+2RooKFzaX6CejPz4B94
d0d3k/0HKn0TSYfZP3RHspb+6ReRT5+zO7HJ9wAAAABJRU5ErkJggg==
)
+x)(k∈Z),求tan(x+
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAjCAYAAACdHYpiAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEqSURBVEhLxZWLDcMgDESZjJ1Yx8swCqO4GAzY
hrQkRGqlqFEgj/P5E4eHP3f4Pr4HSODROVcvD5g2pbGCiOHGS5JdATFgiJtHmm0ZkBA8S3cBNScr
a2GZfw81SGViDATyyGtZWAUmCPVZAvQm1CkLxUwTTwwMzaFagxdptIZSiBwaAQx8DZCbSDZ7s1I3
AbrcYhEbzHEXAN9HADaxnNCy4HQ6ea05XkzkvU3ke6X8rIxMHTyBnIfQO/CiZL+tT6X8nxCenDrP
g/akFMroxr6ReuBiWo0s9E0GQNDeGzwfRK+YNNIGDUgxqvko+2GRhRkweWRa+qcCC6CpJbv9HkD5
UdE3AGIyCVnbAD1oBmELQM6rUSi+IwNwMZnqqLfX+H6ct/O7vfCAdhzCB8gVwkrVg640AAAAAElF
TkSuQmCC
)
)的值.
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