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Evaluate: 22 cos45∘ sin30∘+23 cos30∘ - Mathematics

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Question

Evaluate:

`2 sqrt2  cos 45^circ  sin 30^circ + 2 sqrt3  cos 30^circ`

Evaluate

Solution

We have,

 `2 sqrt2  cos 45^circ  sin 30^circ + 2 sqrt3  cos 30^circ`

= `2sqrt2 xx 1/sqrt2 xx 1/2 + 2sqrt3 xx sqrt3/2`

= 1 + 3

= 4

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