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

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

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cot(arccos(-(sqrt(3))/3))

cot (arccos (- \frac{3}{3}))

- \frac{2}{2}

Decimal Notation

- 0.70710 \dots

Solution steps

cot (arccos (- \frac{3}{3}))

Rewrite using trig identities:

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

Use the following identity:

cot (arccos (x)) = \frac{x}{1 - x ^{2}}

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

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

Simplify

= - \frac{2}{2}

- arctan (- 1)

cot (\frac{21 π}{4})

cot (102 0^{\circ})

sin (2) (71.08)

cos (π^{1})

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