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

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

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

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

- \frac{π}{4}

Decimal Notation

- 45

Solution steps

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

Simplify

= 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}

arcsin (\frac{2}{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}{4}

= - \frac{π}{4}

3 cos (0)

cos (1 2^{\circ})

sec (0) tan (0)

tan (- 10 5^{\circ})

sin (\frac{2}{2})

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