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}

sin (\frac{4 π}{8})

cos (7.5)

cos (arcsin (1))

arcsin (sin (22 5^{\circ}))

tan (\frac{3}{2})

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