What is the value of 4sin(pi/3)cos(pi/3) ?

The value of 4sin(pi/3)cos(pi/3) is square root of 3

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4sin(pi/3)cos(pi/3)

4 sin (\frac{π}{3}) cos (\frac{π}{3})

3

Solution steps

4 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}

= 4 \cdot \frac{3}{2} \cdot \frac{1}{2}

Simplify

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

= 3

\frac{22}{tan ( 5 8 ^{\circ} )}

cos (57 0^{\circ})

arctan (\frac{12}{9})

csc (- 2 π)

- sin (\frac{2 π}{3})

What is the value of 4sin(pi/3)cos(pi/3) ?
The value of 4sin(pi/3)cos(pi/3) is square root of 3