Find the Complement tan(pi/5)

$\tan (\frac{π}{5})$

The complement of $\tan (\frac{π}{5})$ is the angle that when added to $\tan (\frac{π}{5})$ forms a right angle ( $\frac{π}{2}$ radians).

$\frac{π}{2} - \tan (\frac{π}{5})$

Simplify each term.

Evaluate $\tan (\frac{π}{5})$ .

$\frac{π}{2} - 1 \cdot 0.72654252$

Multiply $- 1$ by $0.72654252$ .

$\frac{π}{2} - 0.72654252$

Subtract $0.72654252$ from $\frac{π}{2}$ .

$0.84425379$