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 (\frac{1}{4} π)

tan (arcsin (\frac{1}{5}))

cos (72 0^{\circ})

sin (\frac{- 5 π}{4})

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

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