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Popular >

sin^2(1/2 arccos(3/5))

Solution

sin^{2} (\frac{1}{2} arccos (\frac{3}{5}))

Solution

\frac{1}{5}

+1

Solution steps

sin^{2} (\frac{1}{2} arccos (\frac{3}{5}))

Simplify:

\frac{1}{2} arccos (\frac{3}{5}) = \frac{arccos ( \frac{3}{5} )}{2}

= sin^{2} (\frac{arccos ( \frac{3}{5} )}{2})

Rewrite using trig identities:

\frac{1 - cos ( arccos ( \frac{3}{5} ) )}{2}

= \frac{1 - cos ( arccos ( \frac{3}{5} ) )}{2}

Rewrite using trig identities:

cos (arccos (\frac{3}{5})) = \frac{3}{5}

= \frac{1 - \frac{3}{5}}{2}

Simplify

\frac{1 - \frac{3}{5}}{2} : \frac{1}{5}

= \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is the value of sin^2(1/2 arccos(3/5)) ?
The value of sin^2(1/2 arccos(3/5)) is 1/5