jika (sin A - cos A)² = P², maka 2 sin 2 A = .... Tolong Beserta caranya

Question

Matematika Diposting : 2017-04-30 Diupdate : 2021-11-26 fitriebonex

Pertanyaan

jika (sin A - cos A)² = P², maka 2 sin 2 A = ....
Tolong Beserta caranya

Answer 1

(sinx - cosx)² = p²

sin²x - 2sinxcosx + cos²x = p²

1 - 2sinxcosx = p²

1 - sin2x = p²

sin2x = 1 - p²

2sin2x = 2 (1 - p²)

2sin2x = 2 - 2p²