Find the Exact Value sin(arccos(12/13)+arctan(4/3))

$\sin (\arccos (\frac{12}{13}) + \arctan (\frac{4}{3}))$

Step 1

Simplify each term.

Evaluate $\arccos (\frac{12}{13})$ .

$\sin (0.39479111 + \arctan (\frac{4}{3}))$

Evaluate $\arctan (\frac{4}{3})$ .

$\sin (0.39479111 + 0.92729521)$

Step 2

Add $0.39479111$ and $0.92729521$ .

$\sin (1.32208633)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sin (\arccos (\frac{12}{13}) + \arctan (\frac{4}{3}))$

Decimal Form:

$0.9\overline{692307}$