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Expand each of the following using the compound angle formulae:

(a) $\cos \left(x-40^{\circ}\right)$

(b) $\sin \left(x-50^{\circ}\right)$

(c) $\cos (2 x+y)$

(d) $\sin \left(10^{\circ}+\mathrm{B}\right)$

(e) $\cos \left(60^{\circ}-\mathrm{A}\right)$

(f) $\sin \left(45^{\circ}-x\right)$

(g) $\sin (\mathrm{A}+\mathrm{A})$

(h) $\cos (\mathrm{A}+\mathrm{A})$
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