What is the value of 2sin(60)cos(60) ?

The value of 2sin(60)cos(60) is (sqrt(3))/2

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2sin(60)cos(60)

2 sin (6 0^{\circ}) cos (6 0^{\circ})

\frac{3}{2}

Solution steps

2 sin (6 0^{\circ}) cos (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

cos (6 0^{\circ}) = \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}

arccos (0.55)

cos (0.75)

4 sin (\frac{4 π}{3})

arccos (0.33)

arctan (- \frac{2}{2})

What is the value of 2sin(60)cos(60) ?
The value of 2sin(60)cos(60) is (sqrt(3))/2