问题
选择题
tan15°+cot15°等于( )
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答案
解法1:tan15°+cot15°=
+sin15° cos15°
=cos15° sin15°
=sin215°+cos215° cos15°sin15°
=4.1
•sin30°1 2
解法2:由tan15°=tan(45°-30°)=
=tan45°-tan30° 1+tan45°tan30°
=1- 3 3 1+ 3 3
.3- 3 3+ 3
∴原式=
+3- 3 3+ 3
=4.3+ 3 3- 3
故选C