What is the value of arccsc(-2/(sqrt(3))) ?

The value of arccsc(-2/(sqrt(3))) is -pi/3

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arccsc(-2/(sqrt(3)))

arccsc (- \frac{2}{3})

- \frac{π}{3}

Decimal Notation

- 60

Solution steps

arccsc (- \frac{2}{3})

arccsc (- \frac{2}{3}) = arccsc (- \frac{2 3}{3})

arccsc (- \frac{2}{3})

\frac{2}{3} = \frac{2 3}{3}

\frac{2}{3}

Multiply by the conjugate

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

Apply radical rule:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

= arccsc (- \frac{2 3}{3})

= arccsc (- \frac{2 3}{3})

Use the following property:

arccsc (- x) = - arccsc (x)

arccsc (- \frac{2 3}{3}) = - arccsc (\frac{2 3}{3})

= - arccsc (\frac{2 3}{3})

Use the following trivial identity:

arccsc (\frac{2 3}{3}) = \frac{π}{3}

arccsc (\frac{2 3}{3})

x 22 \frac{2 3}{3} 1 arccsc (x) \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} arccsc (x) 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ}

= \frac{π}{3}

= - \frac{π}{3}

cos (4 5^{\circ} - 3 0^{\circ})

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

csc (- 42 0^{\circ})

arccos (π)

- sin (6 0^{\circ})

What is the value of arccsc(-2/(sqrt(3))) ?
The value of arccsc(-2/(sqrt(3))) is -pi/3