Question

Prove that tan(π/4 - x) = (1-tanx)/(1+tanx)​

Answer 1

Step-by-step explanation:

LHS = tan(π/4 - x)

using tan(x-y) = tanx-tany/1+ tanxtany

now,

LHS = tan(π/4 - tanx) / 1+ tanπ/4tanx

= 1- tanx/1+ tanx (since tanπ/4 = 1 )

therefore RHS = LHS

(Hence proved )