Prove that (i)(sin2 A cos2 B−cos2 A sin2 B)=(sin2 A−sin2 B) (ii)(tan2 A sec2 B−sec2 A tan2 B)=(tan2 A−tan2 B) [2 MARKS]

Prove that (i)(sin2 A cos2 B−cos2 A sin2 B)=(sin2 A−sin2 B) (ii)

1.	Prove that (i)(sin2 A cos2 B−cos2 A sin2 B)=(sin2 A−sin2 B) (ii)(tan2 A sec2 B−sec2 A tan2 B)=(tan2 A−tan2 B) [2 MARKS]
Answer» Prove that $(i) (s i n^{2} A c o s^{2} B - c o s^{2} A s i n^{2} B) = (s i n^{2} A - s i n^{2} B)$ $(i i) (t a n^{2} A s e c^{2} B - s e c^{2} A t a n^{2} B) = (t a n^{2} A - t a n^{2} B)$ [2 MARKS]