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}

Solution steps

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

Simplify:

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

= - \frac{π}{3}

- \frac{1}{sin ^{2} ( 6 0 ^{\circ} )}

- 2 sin (2 (\frac{π}{4}))

sin (arctan (\frac{3}{2}))

2 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

tan (33.6 9^{\circ})

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