What is the value of arcsin((-1)/2) ?

The value of arcsin((-1)/2) is -pi/6

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arcsin((-1)/2)

arcsin (\frac{- 1}{2})

- \frac{π}{6}

Decimal Notation

- 30

Solution steps

arcsin (\frac{- 1}{2})

Simplify

= arcsin (- \frac{1}{2})

Use the following property:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{1}{2}) = - arcsin (\frac{1}{2})

= - arcsin (\frac{1}{2})

Use the following trivial identity:

arcsin (\frac{1}{2}) = \frac{π}{6}

arcsin (\frac{1}{2})

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

= \frac{π}{6}

= - \frac{π}{6}

sec (24 0^{\circ})

tan (- \frac{5 π}{12})

tan (1 0^{\circ})

arccos (\frac{- 2}{2})

sin (\frac{- π}{2})