7. h(x) =

= =sin-¹(x)

8. Using derivative rules and the trigonometric identities

1

sin² (8) = (1 - cos(20)),

cos² (0) = (1 + cos(20)),

show clearly that the function f(x) = sin(x) cos(x) — satisfies properties

(a) and (b).

2

(a) f'(x) = cos(2x), (b) ƒ ( 7 ) = 0