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tan9+cot117-tan243-cot351
=tan9+cot9-tan63-cot63
=sin9/cos9+cos9/sin9-sin63/cos63-cos63/sin63
=[(sin9)^2+(cos9)^2]/(sin9cos9)-[(sin63)^2+(cos63)^2]/(sin63cos63)
=2/sin18-2/sin126
=2/sin18-2/sin54
=2(sin54-sin18)/(sin18sin54)
=4(sin18cos36)/(sin18sin54)
=4(sin18sin54)/(sin18sin54)
=4.
1年前
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