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Popular >

1/2 arctan(1)

Solution

\frac{1}{2} arctan (1)

Solution

\frac{π}{8}

+1

Decimal Notation

22.5

Solution steps

\frac{1}{2} arctan (1)

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{1}{2} \cdot \frac{π}{4}

Simplify

\frac{1}{2} \cdot \frac{π}{4} : \frac{π}{8}

\frac{1}{2} \cdot \frac{π}{4}

Multiply fractions:

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

= \frac{1 π}{2 \cdot 4}

Multiply:

1 π = π

= \frac{π}{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{π}{8}

= \frac{π}{8}

Popular Examples

sec (42 0^{\circ})

tan (7 4^{\circ})

cos (5 7^{\circ})

sin (9 8^{\circ})

cos (- \frac{5 π}{2})

Frequently Asked Questions (FAQ)

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