Question

The set of values of x for which tan3x-tan2x/1+tan3x tan2x =1

Answer 1

Answer:

π/4, 5π/4

Step-by-step explanation:

tan3x-tan2x/1+tan3x tan2x = 1

//this is of form Tan(A-B) = TanA - TanB/1 +TanATanB

=> Tan (3x -2x) = 1

=> Tanx = 1

=> Tanx = Tan45°

=> x = π/4, π+π/4

       = π/4, 5π/4