Question

Please say the answer for 27Q​

Answer 1

tan alpha = ab/a

atan alpha = ab ..........(1)

tan beta = de/ce

tan beta = de/eb + bc

tan beta = de/ eb + a ..... (2)

divide 1 and 2

atan alpha/tan beta = ab/de * eb + a

but ab = de

atan alpha/tan beta = eb + a

atan alpha/tan beta - a = eb

atan alpha - atan beta/tan beta = eb

a(tan alpha - tan beta)/tan beta = eb