What is the value of (arctan(1))/2 ?

The value of (arctan(1))/2 is pi/8

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(arctan(1))/2

\frac{arctan ( 1 )}{2}

\frac{π}{8}

Decimal Notation

22.5

Solution steps

\frac{arctan ( 1 )}{2}

Use the following trivial identity:

arctan (1) = \frac{π}{4}

arctan (1)

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{4}

= \frac{\frac{π}{4}}{2}

Simplify

\frac{\frac{π}{4}}{2} : \frac{π}{8}

\frac{\frac{π}{4}}{2}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{π}{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{π}{8}

= \frac{π}{8}

65 sin (7 0^{\circ})

sin (\frac{π}{12}) - sin (\frac{7 π}{12})

10 cos (3 5^{\circ})

arccos (\frac{7}{9})

- 3 π + sin^{2} (\frac{- 3 π}{3}) - 8