Find the Exact Value tan(arctan(7/6)+arctan(1/2))

$\tan (\arctan (\frac{7}{6}) + \arctan (\frac{1}{2}))$

Step 1

Simplify each term.

Evaluate $\arctan (\frac{7}{6})$ .

$\tan (0.86217005 + \arctan (\frac{1}{2}))$

Evaluate $\arctan (\frac{1}{2})$ .

$\tan (0.86217005 + 0.4636476)$

Step 2

Add $0.86217005$ and $0.4636476$ .

$\tan (1.32581766)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\tan (\arctan (\frac{7}{6}) + \arctan (\frac{1}{2}))$

Decimal Form:

$4.000000000000 \dots$