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Popular >

1-2arctan(1)

Solution

1 - 2 arctan (1)

Solution

1 - \frac{π}{2}

+1

Decimal Notation

- 32.7

Solution steps

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}

= 1 - 2 \cdot \frac{π}{4}

Simplify

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

1 - 2 \cdot \frac{π}{4}

2 \cdot \frac{π}{4} = \frac{π}{2}

2 \cdot \frac{π}{4}

Multiply fractions:

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

= \frac{π 2}{4}

Cancel the common factor:

2

= \frac{π}{2}

= 1 - \frac{π}{2}

= 1 - \frac{π}{2}

Popular Examples

tan (66 0^{\circ})

arcsin (0.23)

600 cos (3 0^{\circ})

arctan (\frac{10}{8})

arccos (0.53)

Frequently Asked Questions (FAQ)

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