It's quite easy.
We have to put just values of sin60°, cos60° and tan30° in the given expression.
[tex] \: \: \: (2 \sin(60))(3 \cos(60)) + (3 \tan(30)) \\ = (2 \times \frac{ \sqrt{3} }{2})(3 \times \frac{1}{2}) + (3 \times \frac{1}{ \sqrt{3} }) \\ = \sqrt{3} \times \frac{3}{2} + \sqrt{3} \\ = \sqrt{3}( \frac{3}{2} + 1) \\ = \sqrt{3} \times \frac{5}{2} \\ = \frac{5 \sqrt{3} }{2}. [/tex]
Hope this will help you.
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