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

The value of arcsin((-1)/(sqrt(2))) is -pi/4

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arcsin((-1)/(sqrt(2)))

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

- \frac{π}{4}

Solution steps

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

Simplify:

\frac{- 1}{2} = - \frac{2}{2}

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

Use the following property:

arcsin (- x) = - arcsin (x)

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

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

Use the following trivial identity:

arcsin (\frac{2}{2}) = \frac{π}{4}

= - \frac{π}{4}

3 π + sin^{2} (\frac{3 π}{3}) - 8

arccos (0.87)

arccos (0.28)

sin^{2} (2 0^{\circ}) + cos^{2} (2 0^{\circ})

cos (- 6)

What is the value of arcsin((-1)/(sqrt(2))) ?
The value of arcsin((-1)/(sqrt(2))) is -pi/4