What is the value of cot(arccos(-2/5)) ?

The value of cot(arccos(-2/5)) is -(2sqrt(21))/(21)

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cot(arccos(-2/5))

cot (arccos (- \frac{2}{5}))

- \frac{2 21}{21}

Decimal Notation

- 0.43643 \dots

Solution steps

cot (arccos (- \frac{2}{5}))

Rewrite using trig identities:

cot (arccos (- \frac{2}{5})) = \frac{( - \frac{2}{5} )}{1 - ( - \frac{2}{5} ) ^{2}}

Use the following identity:

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

= \frac{( - \frac{2}{5} )}{1 - ( - \frac{2}{5} ) ^{2}}

= \frac{- \frac{2}{5}}{1 - ( - \frac{2}{5} ) ^{2}}

Simplify

= - \frac{2 21}{21}

40 sin (7 0^{\circ})

58 sin (6 0^{\circ})

8 cos (5 1^{\circ})

e^{- c o s (0)}

18 sin (3 3^{\circ})

What is the value of cot(arccos(-2/5)) ?
The value of cot(arccos(-2/5)) is -(2sqrt(21))/(21)