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

The value of -1-arctan(-1) is -1+pi/4

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-1-arctan(-1)

- 1 - arctan (- 1)

- 1 + \frac{π}{4}

Decimal Notation

- 12.3

Solution steps

- 1 - 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}

= - 1 - (- \frac{π}{4})

Simplify

= - 1 + \frac{π}{4}

60 cos (7 5^{\circ})

cos^{2} (\frac{3 π}{8})

cot (arcsec (\frac{5}{3}) + arcsin (\frac{5}{13}))

arccos (\frac{4}{5}) + arctan (\frac{1}{7})

sin (\frac{1}{\frac{2}{π}})