What is the value of 2sin(30)cos(30) ?

The value of 2sin(30)cos(30) is (sqrt(3))/2

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2sin(30)cos(30)

2 sin (3 0^{\circ}) cos (3 0^{\circ})

\frac{3}{2}

Solution steps

2 sin (3 0^{\circ}) cos (3 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

= 2 \cdot \frac{1}{2} \cdot \frac{3}{2}

Simplify

2 \cdot \frac{1}{2} \cdot \frac{3}{2} : \frac{3}{2}

= \frac{3}{2}

arctan (\frac{4}{2})

sin (11 0^{\circ})

arctan (\frac{8}{5})

arccos (cos (\frac{5 π}{3}))

sin (\frac{3}{2} π)

What is the value of 2sin(30)cos(30) ?
The value of 2sin(30)cos(30) is (sqrt(3))/2