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(1)计算log225•log34•log59+lg0.001-(13)−2(2)已知tanx=2,求值:sin2(5400−x)tan(9000−x)•1tan(4500−x)tan(8100−x)•cos(3600−x)sin(−x).
题目详情
(1)计算log225•log34•log59+lg0.001-(
)−2
(2)已知tanx=2,求值:
•
•
.
1 |
3 |
(2)已知tanx=2,求值:
sin2(5400−x) |
tan(9000−x) |
1 |
tan(4500−x)tan(8100−x) |
cos(3600−x) |
sin(−x) |
▼优质解答
答案和解析
(1)因为log225•log34•log59+lg0.001-(
)−2
=8log25•log32•log53-3-9
=8-3-9
=-4
(2)
•
•
=
•
•
=
=
.
1 |
3 |
=8log25•log32•log53-3-9
=8-3-9
=-4
(2)
sin2(540°−x) |
tan(900°−x) |
1 |
tan(450°−x)tan(810°−x) |
cos(360°−x) |
sin(−x) |
=
sin2x |
−tanx |
1 |
cotxcotx |
cosx |
−sinx |
=
tan2x |
tan2x+1 |
=
4 |
5 |
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