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Evaluate each of the following:

sin 60° cos 30° + cos 60°sin 30°

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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.

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