Given : sin 60° cos 30° + cos 60°sin 30°
To find : The value of sin 60° cos 30° + cos 60°sin 30°
Solution : Use the values:
sin 30 = \(\frac{1}{2}\), sin 60 = \(\frac{\sqrt3}{2}\),cos30 = \(\frac{\sqrt3}{2}\) and cos 60 = \(\frac{1}{2}\)
sin 60° cos 30° + cos 60°sin 30°
Solve, \(\frac{\sqrt3}{2}\) x \(\frac{\sqrt3}{2}\) + \(\frac{1}{2}\) x \(\frac{1}{2}\)
= \(\frac{3}{4}\) + \(\frac{1}{4}\) = 1
Hence the value of sin 60° cos 30° + cos 60°sin 30° is 1.