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

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

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2arctan(-1)

2 arctan (- 1)

- \frac{π}{2}

Decimal Notation

- 90

Solution steps

2 arctan (- 1)

Rewrite using trig identities:

arctan (- 1) = - \frac{π}{4}

arctan (- 1)

Use the following property:

arctan (- x) = - arctan (x)

arctan (- 1) = - arctan (1)

= - 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{π}{4}

= 2 (- \frac{π}{4})

Simplify

2 (- \frac{π}{4}) : - \frac{π}{2}

2 (- \frac{π}{4})

Remove parentheses:

(- a) = - a

= - 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}

= - \frac{π}{2}

sin^{2} (40 5^{\circ})

74307.552 sin (4.85)

sin^{2} (3 5^{\circ}) + cos^{2} (3 5^{\circ})

\frac{1}{2} cos^{2} (5 0^{\circ})

arctan (\frac{0.577}{53.2})