What is the value of cos(arccos(-(sqrt(3))/2)) ?

The value of cos(arccos(-(sqrt(3))/2)) is -(sqrt(3))/2

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cos(arccos(-(sqrt(3))/2))

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

- \frac{3}{2}

Decimal Notation

- 0.86602 \dots

Solution steps

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

Rewrite using trig identities:

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

Use the following identity:

cos (arccos (x)) = x

= - \frac{3}{2}

= - \frac{3}{2}

arccos (cos (\frac{7 π}{2}))

arccos (90)

cos (8 3^{\circ})

arcsin (- 6)

arctan (\frac{1}{- 3})

What is the value of cos(arccos(-(sqrt(3))/2)) ?
The value of cos(arccos(-(sqrt(3))/2)) is -(sqrt(3))/2