Buktikanlah identitas trigonometri (sin x - cos x)² = 1 - 2 sin x cos x

◾ Materi : Trigonometri
◾ Sub materi : Identitas Trigonometri
◾ Mapel : Matematika

Jawab :
Pembuktian
(sin x - cos x)² = 1 - 2sinx cosx
(sinx - cosx)(sinx - cosx) = 1 - 2sinx cosx
sin²x -sinx cosx -sinx cosx + cos²x = 1 - 2sinx cosx
(sin²x + cos²x) -2sinx cos x = 1 - 2sinx cosx
1 - 2sinx cosx = 1 - 2sinx cosx

Ingat!! Konsep = sin²x + cos²x = 1

semoga membantu
# sharing is caring #
-vin

semoga membantu yaa :)