What is the value of 2cos(pi/6)+sin(pi/3) ?

The value of 2cos(pi/6)+sin(pi/3) is sqrt(3)+(sqrt(3))/2

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2cos(pi/6)+sin(pi/3)

2 cos (\frac{π}{6}) + sin (\frac{π}{3})

3 + \frac{3}{2}

Solution steps

2 cos (\frac{π}{6}) + sin (\frac{π}{3})

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

= 2 \cdot \frac{3}{2} + \frac{3}{2}

Simplify

2 \cdot \frac{3}{2} + \frac{3}{2} : 3 + \frac{3}{2}

= 3 + \frac{3}{2}

arctan (\frac{10}{25})

\frac{117}{tan ( 3 )}

arccos (\frac{- 2}{14 26})

sin (2 arctan (- \frac{3}{4}))

arctan (\frac{- 13.79}{25.54})

What is the value of 2cos(pi/6)+sin(pi/3) ?
The value of 2cos(pi/6)+sin(pi/3) is sqrt(3)+(sqrt(3))/2