What is the value of sin(arccos(3/8)) ?

The value of sin(arccos(3/8)) is (sqrt(55))/8

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sin(arccos(3/8))

sin (arccos (\frac{3}{8}))

\frac{55}{8}

Decimal Notation

0.92702 \dots

Solution steps

sin (arccos (\frac{3}{8}))

Rewrite using trig identities:

sin (arccos (\frac{3}{8})) = 1 - (\frac{3}{8})^{2}

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

= 1 - (\frac{3}{8})^{2}

= 1 - (\frac{3}{8})^{2}

Simplify

= \frac{55}{8}

- 3 sin (\frac{4 π}{3})

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arccos (\frac{- 0.353 + 4.5014}{2.5})

arcsin (\frac{21}{25})

3 sin (\frac{π}{6})

What is the value of sin(arccos(3/8)) ?
The value of sin(arccos(3/8)) is (sqrt(55))/8