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Question

Prove that:
cot(7 12o)=2+3+4+6.

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Solution

cot(152)
=cos(15/2)sin(15/2)
=2cos2(15/2)2sin(15/2)cos(15/2)
=1+cos15°sin15°
=1+cos(4530)°sin(4530)°
=1+12.32+12.1212.3212.12
=1+3+1223122=3+22+131
=(3+22+1)(3+1)(31)(3+1)
=3+3+26+22+3+12
=4+23+22+262
=2+3+6+4

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