What is the value of sin(arcsin((sqrt(3))/2)) ?

The value of sin(arcsin((sqrt(3))/2)) is (sqrt(3))/2

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sin(arcsin((sqrt(3))/2))

sin (arcsin (\frac{3}{2}))

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

sin (arcsin (\frac{3}{2}))

Rewrite using trig identities:

sin (arcsin (\frac{3}{2})) = \frac{3}{2}

Use the following identity:

sin (arcsin (x)) = x

= \frac{3}{2}

= \frac{3}{2}

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

5 cos (7 0^{\circ})

cos (\frac{3 π}{7}) cos (\frac{2 π}{21}) + sin (\frac{3 π}{7}) sin (\frac{2 π}{21})

arcsin (- \frac{4}{5})

4 cos (4 5^{\circ})

What is the value of sin(arcsin((sqrt(3))/2)) ?
The value of sin(arcsin((sqrt(3))/2)) is (sqrt(3))/2