What is the value of tan(63) ?

The value of tan(63) is sqrt(3\sqrt{2)sqrt(5-\sqrt{5)}-sqrt(10)sqrt(5-\sqrt{5)}+11-4sqrt(5)}

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tan(63)

tan (6 3^{\circ})

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

Solution steps

tan (6 3^{\circ})

Rewrite using trig identities:

\frac{1 - cos ( 12 6 ^{\circ} )}{1 + cos ( 12 6 ^{\circ} )}

= \frac{1 - cos ( 12 6 ^{\circ} )}{1 + cos ( 12 6 ^{\circ} )}

Rewrite using trig identities:

cos (12 6^{\circ}) = - \frac{2 5 - 5}{4}

= \frac{1 - ( - \frac{2 5 - 5}{4} )}{1 - \frac{2 5 - 5}{4}}

Simplify

\frac{1 - ( - \frac{2 5 - 5}{4} )}{1 - \frac{2 5 - 5}{4}} : 32 5 - 5 - 10 5 - 5 + 11 - 45

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

tan (2 1^{\circ})

sin (\frac{12}{13})

cos (- 4 π)

arccos (cos (- \frac{π}{6}))

arctan (\frac{5}{0})

What is the value of tan(63) ?
The value of tan(63) is sqrt(3\sqrt{2)sqrt(5-\sqrt{5)}-sqrt(10)sqrt(5-\sqrt{5)}+11-4sqrt(5)}