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Mathematics

Evaluate the following :

sin 60° cos 30° + sin 30° cos 60°

Trigonometric Identities

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Answer

Substituting values, we get :

⇒sin 60° cos 30° + sin 30° cos 60°=32×32+12×12=34+14=44=1.\Rightarrow \text{sin 60° cos 30° + sin 30° cos 60°} = \dfrac{\sqrt{3}}{2} \times \dfrac{\sqrt{3}}{2} + \dfrac{1}{2} \times \dfrac{1}{2} \\[1em] = \dfrac{3}{4} + \dfrac{1}{4} \\[1em] = \dfrac{4}{4} \\[1em] = 1.

Hence, sin 60° cos 30° + sin 30° cos 60° = 1.

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