Question

Diketahui sin (x-45) = sin x. Nilai tan x =...

Answer 1

Sin (x - 45) = sin x
sin x cos 45 - cos x sin 45 = sin x
sin x cos 45/sin x - cosx sin 45 / sin x = sin x / sin x
cos 45 - tan x sin 45 = 1
√2/2 - √2/2 tan x = 1
√2/2 (1 - tan x) = 1
1 - tan x = 2/√2
1 - tan x = √2
1 - √ 2 = tan x