What is the value of 2sin(pi/3)cos(pi/4) ?

The value of 2sin(pi/3)cos(pi/4) is sqrt(3/2)

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2sin(pi/3)cos(pi/4)

2 sin (\frac{π}{3}) cos (\frac{π}{4})

\frac{3}{2}

Solution steps

2 sin (\frac{π}{3}) cos (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

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

Simplify

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

= \frac{3}{2}

cos (π) - 1

(1 2^{2} + 7^{2} - 2 \cdot 12 \cdot 7 \cdot cos (4 0^{\circ}))

cos (2 arccos (\frac{3}{4}) - arccos (\frac{1}{8}))

arcsin (\frac{sin ( 2 5 ^{\circ} )}{1.51})

tan (3 0^{\circ}) + tan (6 0^{\circ})

What is the value of 2sin(pi/3)cos(pi/4) ?
The value of 2sin(pi/3)cos(pi/4) is sqrt(3/2)