What is the value of sin((3pi)/(16)) ?

The value of sin((3pi)/(16)) is (sqrt(2-\sqrt{2-\sqrt{2)}})/2

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sin((3pi)/(16))

sin (\frac{3 π}{16})

\frac{2 - 2 - 2}{2}

Solution steps

sin (\frac{3 π}{16})

Rewrite using trig identities:

\frac{1 - cos ( \frac{3 π}{8} )}{2}

= \frac{1 - cos ( \frac{3 π}{8} )}{2}

Rewrite using trig identities:

cos (\frac{3 π}{8}) = \frac{2 - 2}{2}

= \frac{1 - \frac{2 - 2}{2}}{2}

Simplify

\frac{1 - \frac{2 - 2}{2}}{2} : \frac{2 - 2 - 2}{2}

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

2 sec (\frac{π}{4}) + 4 cot (\frac{π}{3})

arccsc (- 9)

300 sin (4 5^{\circ})

sin (4 \cdot \frac{π}{3})

cosh (i \frac{π}{4})

What is the value of sin((3pi)/(16)) ?
The value of sin((3pi)/(16)) is (sqrt(2-\sqrt{2-\sqrt{2)}})/2