What is the value of arccos(-(sqrt(2))/2)+arctan((sqrt(3))/3) ?

The value of arccos(-(sqrt(2))/2)+arctan((sqrt(3))/3) is (11pi)/(12)

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arccos(-(sqrt(2))/2)+arctan((sqrt(3))/3)

arccos (- \frac{2}{2}) + arctan (\frac{3}{3})

\frac{11 π}{12}

Solution steps

arccos (- \frac{2}{2}) + arctan (\frac{3}{3})

Use the following trivial identity:

arccos (- \frac{2}{2}) = \frac{3 π}{4}

Use the following trivial identity:

arctan (\frac{3}{3}) = \frac{π}{6}

= \frac{3 π}{4} + \frac{π}{6}

Simplify

\frac{3 π}{4} + \frac{π}{6} : \frac{11 π}{12}

= \frac{11 π}{12}

6 sin (2 (\frac{π}{2}))

sin (90. 1^{\circ})

1 - sin^{2} (5 π)

7 \cdot tan (3 6^{\circ})

What is the value of arccos(-(sqrt(2))/2)+arctan((sqrt(3))/3) ?
The value of arccos(-(sqrt(2))/2)+arctan((sqrt(3))/3) is (11pi)/(12)