解题思路:由
sin(
π
4
+x)=
12
13
(
π
4
<x<
π
2
)
得,cos
(
π
4
+x)
=-[5/13],从而cos2x=sin
(
π
2
+2x)
=2sin
(
π
4
+x)
cos
(
π
4
+x)
=-[120/169],cos
(
π
4
−x)
=cos
[
π
2
−(
π
4
+x)]
=sin
(
π
4
+x)
=[12/13].然后可得出式子[cos2x
解题思路:由
sin(
π
4
+x)=
12
13
(
π
4
<x<
π
2
)
得,cos
(
π
4
+x)
=-[5/13],从而cos2x=sin
(
π
2
+2x)
=2sin
(
π
4
+x)
cos
(
π
4
+x)
=-[120/169],cos
(
π
4
−x)
=cos
[
π
2
−(
π
4
+x)]
=sin
(
π
4
+x)
=[12/13].然后可得出式子[cos2x