Question

If tanA=5/6 and tanB=1/11,then show that A+B=pi/4 or 5pi/4.

Answer 1

Hey!

Question:-

• tan A = 5/6

• tan B = 1/11

Then show : A + B = π/4 or 5π/4

Answer:-

• tan ( A+B ) = ( tan A + tan B ) / ( 1 - tan A * tan B )

• tan ( A+B ) = ( 5/6 + 1/11 ) / ( 1 - 5/6*1/11 )

• tan ( A+B ) = ( 55+6/66 ) / ( 1 - 5/66)

• tan ( A+B ) = ( 61/66 ) / ( 61/66)

• tan ( A+B ) = 1

• tan ( A+B ) = tan 45° or π/4

• A+B = π/4 •

Hope it helps!