Express the following as a sum or difference of two trigonometric func

1.	Express the following as a sum or difference of two trigonometric functions: 2sin 2π/3 cos π/2
Answer» 2 sin 2π/3 cos π/2 = sin (\(\frac{2π}{3}+\frac{π}{2} \)) sin (\(\frac{2π}{3}-\frac{π}{2} \)) = sin \(\frac{7π}{6}+sin\, \frac{π}{6} \)

Express the following as a sum or difference of two trigonometric functions: 2sin 2π/3 cos π/2

Answer»

2 sin 2π/3 cos π/2 = sin (\(\frac{2π}{3}+\frac{π}{2} \)) sin (\(\frac{2π}{3}-\frac{π}{2} \))

= sin \(\frac{7π}{6}+sin\, \frac{π}{6} \)