a cot &#x2061;<!-- ⁡ --> A + b cot &#x2061;<!-- ⁡ --> B + c cot

generiranfi7qu

generiranfi7qu

Answered question

2022-04-10

a cot A + b cot B + c cot C = 2 ( R + r )

Answer & Explanation

pomastitxz27r

pomastitxz27r

Beginner2022-04-11Added 16 answers

a cot A + b cot B + c cot C = 2 R [ sin A cos A sin A + sin B cos B sin B + sin C cos C sin C ] = 2 R [ cos A + cos B + cos C ] = 2 R [ 2 cos A + B 2 cos A B 2 + 1 2 sin 2 C 2 ] = 2 R [ 1 + 2 sin A 2 sin B 2 sin C 2 ] = 2 R [ 1 + r R ] = 2 ( R + r ) .

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