If a right angle be divided into three parts a , b and c . Prove that : cot A = tanB + tanC /1 - tanBtanC .

Asked by Sanjay | 13th May, 2015, 12:27: AM

Expert Answer:

A plus B plus C equals pi over 2 rightwards double arrow B plus C equals pi over 2 minus A T a k i n g space tan g e n t space o n space b o t h space s i d e s comma space w e space g e t tan open parentheses B plus C close parentheses equals tan open parentheses pi over 2 minus A close parentheses rightwards double arrow fraction numerator tan B plus tan C over denominator 1 minus tan B tan C end fraction equals c o t A. space left parenthesis P r o v e d right parenthesis

Answered by satyajit samal | 13th May, 2015, 10:56: AM

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