What is the value of cos(arccos((sqrt(2))/2)) ?

The value of cos(arccos((sqrt(2))/2)) is (sqrt(2))/2

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cos(arccos((sqrt(2))/2))

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

\frac{2}{2}

Decimal Notation

0.70710 \dots

Solution steps

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

Rewrite using trig identities:

cos (arccos (\frac{2}{2})) = \frac{2}{2}

Use the following identity:

cos (arccos (x)) = x

= \frac{2}{2}

= \frac{2}{2}

arctan (\frac{1}{2 2})

arccsc (- \frac{5}{2})

cos^{2} (- \frac{π}{4})

arcsin (\frac{4}{8})

cos (\frac{3}{2 π})

What is the value of cos(arccos((sqrt(2))/2)) ?
The value of cos(arccos((sqrt(2))/2)) is (sqrt(2))/2