यदि ` tan A = m /( m + 1) ` और ` tan B = 1/( 2m + 1) , `
तो सिद्ध कीजिए कि -

Explanation

` A+B+pi/4`
` tan (A+B) = ( tan A +tan B)/(1-tan A tan B) `
` = (m/(m+1)+1/(2m+1))/(1-m/(m+1)*1/(2m+1))`
` =((m(2m+1)+(m+1))/((m+1) (2m+1)))/(((m+1)(2m+1)-m)/((m+1)(2m+1)))`
` = (2m^(2) + m + m + 1)/( 2m^(2) + 2m+ m+1-m)`
` = (2m^(2) + 2m +1)/(2m^(2)+2m+1)`
` = 1 = tan. pi/4`
` :. A + B = pi/4 `