What is the value of (2tan((5pi)/8))/(1-tan^2((5pi)/8)) ?

The value of (2tan((5pi)/8))/(1-tan^2((5pi)/8)) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2tan((5pi)/8))/(1-tan^2((5pi)/8))

\frac{2 tan ( \frac{5 π}{8} )}{1 - tan ^{2} ( \frac{5 π}{8} )}

1

Solution steps

\frac{2 tan ( \frac{5 π}{8} )}{1 - tan ^{2} ( \frac{5 π}{8} )}

Rewrite using trig identities:

tan (\frac{π}{4})

= tan (\frac{π}{4})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

= 1

800 \cdot cos (3 0^{\circ})

3 sec^{2} (\frac{3 π}{4})

2 sin (\frac{2 π}{5}) cos (\frac{2 π}{5})

\frac{sin ( 84 0 ^{\circ} )}{cos ( 33 0 ^{\circ} ) + sin ( 31 5 ^{\circ} )}

cos (arctan (3) + arcsin (\frac{1}{3}))

What is the value of (2tan((5pi)/8))/(1-tan^2((5pi)/8)) ?
The value of (2tan((5pi)/8))/(1-tan^2((5pi)/8)) is 1