`(1+tan1 8^(@))(1+tan2 7^(@))=`

The expression ((1+tan37^(@))(1+tan8^(@))(1+tan15^(@))(1+tan30^(@)))/((1+tan2^(@))(1+tan43^(@))) reduces to

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

Prove the following: 2\ tan^(-1)(1/5)+tan^(-1)(1/8)= tan^(-1)(4/7)

Prove that tan^(-1) (1/5)+ tan^(-1) (1/7) + tan^(-1) (1/3) + tan^(-1) (1/8) = pi/4

Prove that tan^ (-1)( 1/3) +tan^(-1)( 1/5) + tan^(-1) (1/7 )+tan^(-1) (1/8) = pi/4

Show that 2tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)