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

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

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

2 sin (\frac{π}{3}) cos (\frac{π}{3})

\frac{3}{2}

Solution steps

2 sin (\frac{π}{3}) cos (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

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

Simplify

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

= \frac{3}{2}

\frac{11}{tan ( 3 9 ^{\circ} )}

\frac{cos ( 0 )}{sin ( 0 )}

\frac{10}{sin ( 4 0 ^{\circ} )}

5 cos (5)

arcsin (\frac{3.4}{6.7})

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