(a) Show that and explain why there is a restriction on the domain of . (b) Use...

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(a) Show that

sin 40 = 4 sin 0 (1 - 2 sin0)(1-sin0), -TT/2 <0

and explain why there is a restriction on the domain of θ.

(b) Use the binomial expansion to show that

(1-sin0) = 1-sin0-sin0 -sin0 + A sin0 +...

giving the value of A.

(c) Show that sin 4θ can be expressed in the form

sin 40 = 4 sin0 - 10 sin0+ sin0 + sin'0 +...

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