tolong dibantu tentang identitas trigonometri .. buktikan identitas trigonometri berikut ! 1. cotan x  cos x + sin x =cosec x 2.tan² x - sin² x = tan² x sin² x

1. [tex]cotanx.cosx + sinx = cosec x \\ \frac{cosx}{sinx}.cosx + sinx = \frac{1}{sinx} \\ \frac{ cos^{2}x + sin^{2} x }{sinx} = \frac{1}{sinx} \\ \frac{1}{sinx} = \frac{1}{sinx}[/tex]


2. [tex] tan^{2}x - sin^{2}x = tan^{2}x . sin^{2}x \\ \frac{sin^{2}x}{cos^{2}x} - \frac{sin^{2}x . cos^{2}x}{cos^{2}x} = tan^{2}x . sin^{2}x \\ \frac{sin^{2}x (1 - cos^{2}x)}{cos^{2}x} = tan^{2}x . sin^{2}x \\ tan^{2}x . sin^{2}x = tan^{2}x . sin^{2}x[/tex]

semoga ngerti :)