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

The value of sin(arcsin(-(sqrt(2))/2)) is -(sqrt(2))/2

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

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

- \frac{2}{2}

Decimal Notation

- 0.70710 \dots

Solution steps

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

Rewrite using trig identities:

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

Use the following identity:

sin (arcsin (x)) = x

= - \frac{2}{2}

= - \frac{2}{2}

sin (4 5^{\circ}) - cos (4 5^{\circ})

arccos (- 4)

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

(sec (0))^{2}

18 cos (3 0^{\circ})

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