Find the Exact Value tan(45 degrees )^2-cos(30 degrees )

$\tan^{2} (45 °) - \cos (30 °)$

The exact value of $\tan (45 °)$ is $1$ .

$1^{2} - \cos (30 °)$

One to any power is one.

$1 - \cos (30 °)$

The exact value of $\cos (30 °)$ is $\frac{\sqrt{3}}{2}$ .

$1 - \frac{\sqrt{3}}{2}$

The result can be shown in multiple forms.

Exact Form:

$1 - \frac{\sqrt{3}}{2}$

Decimal Form:

$0.13397459 \dots$