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

Asked by Pragya Singh | 1 year ago |  92

1 Answer

Solution :-

First, find the values of the given trigonometric ratios

sin 30° = \( \dfrac{1}{2}\)

cos 30° = \( \dfrac{\sqrt{3}}{2}\)

sin 60° = \( \dfrac{3}{2}\)

cos 60°= \( \dfrac{1}{2}\)

Now, substitute the values in the given problem

sin 60° cos 30° + sin 30° cos 60° 

\( \dfrac{\sqrt{3}}{2}\) × \( \dfrac{\sqrt{3}}{2}\) + (\( \dfrac{1}{2}\)) ×(\( \dfrac{1}{2}\)

= \( \dfrac{3}{4}\)+\( \dfrac{1}{4}\) =\( \dfrac{4}{4}\) =1

Answered by Abhisek | 1 year ago

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