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

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

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sin(pi/8)cos(pi/8)

sin (\frac{π}{8}) cos (\frac{π}{8})

\frac{2}{4}

Solution steps

sin (\frac{π}{8}) cos (\frac{π}{8})

Rewrite using trig identities:

\frac{sin ( \frac{π}{4} )}{2}

= \frac{sin ( \frac{π}{4} )}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

= \frac{\frac{2}{2}}{2}

Simplify

\frac{\frac{2}{2}}{2} : \frac{2}{4}

= \frac{2}{4}

arcsin (\frac{5.8}{7.6})

100 cos (1 5^{\circ})

cos (4 5^{\circ}) \cdot 10

sin^{2} (\frac{7 π}{4})

csc (57 0^{\circ})

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