What is the value of 8sin(pi/4)sin(pi/6) ?

The value of 8sin(pi/4)sin(pi/6) is 2sqrt(2)

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8sin(pi/4)sin(pi/6)

8 sin (\frac{π}{4}) sin (\frac{π}{6})

22

Solution steps

8 sin (\frac{π}{4}) sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= 8 \cdot \frac{2}{2} \cdot \frac{1}{2}

Simplify

8 \cdot \frac{2}{2} \cdot \frac{1}{2} : 22

= 22

arctan (- \frac{5}{11})

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

5 cos (\frac{4 π}{3})

cot (- 45 0^{\circ})

arcsin (- \frac{15}{8})

What is the value of 8sin(pi/4)sin(pi/6) ?
The value of 8sin(pi/4)sin(pi/6) is 2sqrt(2)