What is the value of arctan(sqrt(3))-arctan(1) ?

The value of arctan(sqrt(3))-arctan(1) is pi/(12)

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arctan(sqrt(3))-arctan(1)

arctan (3) - arctan (1)

\frac{π}{12}

Solution steps

arctan (3) - arctan (1)

Use the following trivial identity:

arctan (3) = \frac{π}{3}

Use the following trivial identity:

arctan (1) = \frac{π}{4}

= \frac{π}{3} - \frac{π}{4}

Simplify

\frac{π}{3} - \frac{π}{4} : \frac{π}{12}

= \frac{π}{12}

sin (2 arccos (- \frac{3}{2}))

- 2 sin (2 (0))

cot (33.6 9^{\circ})

arctan (\frac{8}{0})

cot (\frac{3 π}{5})

What is the value of arctan(sqrt(3))-arctan(1) ?
The value of arctan(sqrt(3))-arctan(1) is pi/(12)