题目内容
化简:
(1)
(2)
.
(1)
| sin[α+(2n+1)π]+sin[α-(2n+1)π] |
| sin(α+2nπ)•cos(α-2nπ) |
(2)
| 1-cos4α-sin4α |
| 1-cos6α-sin6α |
原式=
=
=
=
=-
2)原式=
=
=
.
| sin(2nπ+π+α)+sin(-2nπ-π+α) |
| sin(2nπ+α)•cos(-2nπ+α) |
| sin(π+α)+sin(-π+α) |
| sinα•cosα |
=
| -sinα-sin(π-α) |
| sinα•cosα |
| -2sinα |
| sinα•cosα |
| 2 |
| cosα |
2)原式=
| (cos2α+sin2α)2-cos4α-sin4α |
| (cos2α+sin2α)3-cos6α-sin6α |
| 2cos2α•sin2α |
| 3cos2αsin2α(cos2α+sin2α) |
| 2 |
| 3 |
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