a. Show that sin 3 3 sin cos 2 sin 3 . b. Show that cos 3 cos3

a. Show that sin 3θ ≡ 3 sin θ cos² θ − sin³ θ.

b. Show that cos 3θ ≡ cos3 θ − 3 sin² θ cos θ.

c. Hence, or otherwise, show that tan

d. Given that θ is acute and that cos

30= 3 tan 0 tan0 1 - 3 tan0 -