已知sin(3π+θ)=13,求cos(π+θ)cosθ[cos(π?θ)?1]+cos(θ?2π)sin(θ?3π2)cos(θ?π)?sin(3π2+

2024-11-27 11:43:39
推荐回答(1个)
回答1:

∵sin(3π+θ)=-sinθ=

1
3

∴sinθ=-
1
3

原式=
?cosθ
cosθ(?cosθ?1)
+
cos(2π?θ)
?sin(
2
?θ)cos(π?θ)+cosθ

=
1
1+cosθ
+
cosθ
?cos2θ +cosθ
=
1
1+cosθ
+
1
1?cosθ
=
2
1?cos2θ
=
2
sin2θ
=
2
(?
1
3
)
2
=18.