Question

Hey friends ! plz prove it..

Answer 1

Here is your answer !!

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Tan A = 5 / 6

Tan B = 1 / 11

To prove --- Tan ( A + B ) = Tan 45°
Tan ( A + B ) = 1

Using the formula

Tan ( A + B ) = Tan A + Tan B / 1 - Tan A × Tan B

==> 5 / 6 + 1 / 11 / 1 - 5 / 6 × 1 / 11

==> 55 + 6 / 66 / 1 - 5 / 66

==> 61 / 66 / 66 - 5 / 66

==>61 / 66 × 66 / 61

==> 1

Hence Tan ( A + B ) = 1 or Tan ( A + B ) = Tan 45
Or
A + B = 45°

Hope it helps !!