sederhana kan 1+sin2x/sinx+cosx

Trigonometry.

[tex]\displaystyle \frac{1+\sin 2x}{\sin x+\cos x}\\ =\frac{\sin^2 x+\cos^2 x+2\sin x \cos x}{\sin x+\cos x}\\ =\frac{(\sin x+\cos x)^2}{\sin x+\cos x}\\ =\sin x+\cos x[/tex]