题目内容
已知函数f(x)=
cos
,x∈R
(1)求f
的值;
(2)若cos θ=
,θ∈
,求f
.
(1)求f
(2)若cos θ=
(1)1(2)
(1)f
=
cos
=
cos
=
cos
=1.
(2)f
=
cos
=
cos
=cos 2θ-sin 2θ,
又cos θ=
,θ∈
,
∴sin θ=-
,∴sin 2θ=2sin θcos θ=-
,cos 2θ=2cos2θ-1=-
,
∴f
=cos 2θ-sin 2θ=-
+
=
.
(2)f
又cos θ=
∴sin θ=-
∴f
练习册系列答案
相关题目