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求下列各式的值:(1)sin15°cos15°;(2)cos2π8-sin2π8;(3)tan22.5°1-tan222.5°;(4)2cos222.5°-1.
题目详情
求下列各式的值:
(1)sin15°cos15°;
(2)cos2
-sin2
;
(3)
;
(4)2cos222.5°-1.求下列各式的值:
(1)sin15°cos15°;
(2)cos2
-sin2
;
(3)
;
(4)2cos222.5°-1.
2
-sin2
;
(3)
;
(4)2cos222.5°-1.
π 8 π π 8 8 2
;
(3)
;
(4)2cos222.5°-1.
π 8 π π 8 8
;
(4)2cos222.5°-1.
tan22.5° 1-tan222.5° tan22.5° tan22.5° 1-tan222.5° 1-tan222.5° n222.5°n222.5°222.5°
2
(1)sin15°cos15°;
(2)cos2
π |
8 |
π |
8 |
(3)
tan22.5° |
1-tan222.5° |
(4)2cos222.5°-1.求下列各式的值:
(1)sin15°cos15°;
(2)cos2
π |
8 |
π |
8 |
(3)
tan22.5° |
1-tan222.5° |
(4)2cos222.5°-1.
2
π |
8 |
π |
8 |
(3)
tan22.5° |
1-tan222.5° |
(4)2cos222.5°-1.
π |
8 |
π |
8 |
(3)
tan22.5° |
1-tan222.5° |
(4)2cos222.5°-1.
π |
8 |
tan22.5° |
1-tan222.5° |
(4)2cos222.5°-1.
tan22.5° |
1-tan222.5° |
2
▼优质解答
答案和解析
(1)sin15°cos15°=
sin30°=
;
(2)cos2
-sin2
=cos
=
;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
1 2 1 1 12 2 2sin30°=
;
(2)cos2
-sin2
=cos
=
;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
1 4 1 1 14 4 4;
(2)cos22
-sin2
=cos
=
;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
π 8 π π π8 8 8-sin22
=cos
=
;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
π 8 π π π8 8 8=cos
=
;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
π 4 π π π4 4 4=
;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
2
2 2 2 22 2 2;
(3)
=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
tan22.5° 1-tan222.5° tan22.5° tan22.5° tan22.5°1-tan222.5° 1-tan222.5° 1-tan222.5°222.5°=
tan45°=
;
(4)2cos222.5°-1=cos45°=
.
1 2 1 1 12 2 2tan45°=
;
(4)2cos222.5°-1=cos45°=
.
1 2 1 1 12 2 2;
(4)2cos2222.5°-1=cos45°=
.
2
2 2 2 22 2 2.
1 |
2 |
1 |
4 |
(2)cos2
π |
8 |
π |
8 |
π |
4 |
| ||
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
1 |
2 |
1 |
4 |
(2)cos2
π |
8 |
π |
8 |
π |
4 |
| ||
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
1 |
4 |
(2)cos22
π |
8 |
π |
8 |
π |
4 |
| ||
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
π |
8 |
π |
8 |
π |
4 |
| ||
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
π |
8 |
π |
4 |
| ||
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
π |
4 |
| ||
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
| ||
2 |
2 |
2 |
2 |
2 |
(3)
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
tan22.5° |
1-tan222.5° |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
1 |
2 |
1 |
2 |
(4)2cos222.5°-1=cos45°=
| ||
2 |
1 |
2 |
(4)2cos2222.5°-1=cos45°=
| ||
2 |
| ||
2 |
2 |
2 |
2 |
2 |
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