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

The value of tan((3pi)/(16)) is sqrt(2\sqrt{2)sqrt(2-\sqrt{2)}-4sqrt(2-\sqrt{2)}+7-4sqrt(2)}

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tan((3pi)/(16))

tan (\frac{3 π}{16})

22 2 - 2 - 4 2 - 2 + 7 - 42

Solution steps

tan (\frac{3 π}{16})

Rewrite using trig identities:

\frac{1 - cos ( \frac{3 π}{8} )}{1 + cos ( \frac{3 π}{8} )}

= \frac{1 - cos ( \frac{3 π}{8} )}{1 + cos ( \frac{3 π}{8} )}

Rewrite using trig identities:

cos (\frac{3 π}{8}) = \frac{2 - 2}{2}

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

Simplify

\frac{1 - \frac{2 - 2}{2}}{1 + \frac{2 - 2}{2}} : 22 2 - 2 - 4 2 - 2 + 7 - 42

= 22 2 - 2 - 4 2 - 2 + 7 - 42

19.6 cos (3 0^{\circ})

tan (arccot (\frac{2 π}{3}))

\frac{sin ( \frac{π}{6} )}{cos ^{2} ( \frac{π}{6} )}

4 tan (3 7^{\circ}) + 3 tan (5 3^{\circ})

sinh (lo g_{10} (2) - lo g_{10} (5))

What is the value of tan((3pi)/(16)) ?
The value of tan((3pi)/(16)) is sqrt(2\sqrt{2)sqrt(2-\sqrt{2)}-4sqrt(2-\sqrt{2)}+7-4sqrt(2)}