Evaluate each of the following:sin 60° cos 30° + cos 60°sin 30°

1.	Evaluate each of the following:sin 60° cos 30° + cos 60°sin 30°
Answer» 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.

Answer»

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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