Question

math (Trigonometry) ​

Answer 1

. tan ( x + 15 ) / tan ( x - 15 ) = 3

∴ sin (x+15) cos (x-15) / cos (x+15) sin (x-15) = 3/1

∴ by C-and-D,

... sin [ (x+15) + (x-15) ] / sin [ (x+15) - (x-15) ] = (3+1) / (3-1)

∴ sin 2x / sin 30 = 2

∴ sin 2x = 1 = sin π/2

∴ 2x = π/2

∴ basic solution is x = π/4 ............... Ans.