Cot40°.cot130°+cot130°.cot10°+cot10°.cot40° is
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cot130 = cot (90 + 40) = -cot40
therefore cot130 x cot40= -cot²40
cot130 x cot10 = - cot40 x cot10
therefore, answer,
Cot40°.cot130°+cot130°.cot10°+cot10°.cot40°
=Cot²40° - cot40°.cot10° + cot10°.cot40°
=Cot²40°
I hope you have understood fam
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