What is the value of tan(117) ?

The value of tan(117) is -sqrt(3\sqrt{2)sqrt(5-\sqrt{5)}-sqrt(10)sqrt(5-\sqrt{5)}+11-4sqrt(5)}

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tan(117)

tan (11 7^{\circ})

- 32 5 - 5 - 10 5 - 5 + 11 - 45

Solution steps

tan (11 7^{\circ})

Rewrite using trig identities:

- tan (6 3^{\circ})

= - tan (6 3^{\circ})

Rewrite using trig identities:

tan (6 3^{\circ}) = 32 5 - 5 - 10 5 - 5 + 11 - 45

= - 32 5 - 5 - 10 5 - 5 + 11 - 45

tan (arcsin (\frac{3}{4}) - arccos (\frac{1}{5}))

- csc (\frac{7 π}{6})

tan (arccos (\frac{π}{2}))

arcsin (cos (- \frac{π}{6}))

\frac{tan ( 10 0 ^{\circ} ) - tan ( - 2 0 ^{\circ} )}{1 + tan ( 10 0 ^{\circ} ) tan ( - 2 0 ^{\circ} )}

What is the value of tan(117) ?
The value of tan(117) is -sqrt(3\sqrt{2)sqrt(5-\sqrt{5)}-sqrt(10)sqrt(5-\sqrt{5)}+11-4sqrt(5)}