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

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

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

2 sin (\frac{π}{3}) sin (\frac{π}{4})

\frac{3}{2}

Solution steps

2 sin (\frac{π}{3}) sin (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

sin (\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}

arcsin (\frac{24}{29})

- 2 cos (\frac{2 π}{3}) csc (\frac{( \frac{π}{3} )}{2})

\frac{1}{2} (7) (10) (cos (\frac{π}{4})) (- \frac{π}{45})

3 \cdot cot (\frac{45}{2}) \cdot cot (\frac{75}{2}) \cdot cot (\frac{60}{2})

\frac{sin ( 30 0 ^{\circ} ) + cos ( 15 0 ^{\circ} )}{tan ( 12 0 ^{\circ} ) + cot ( 24 0 ^{\circ} )}

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