What is the value of cot(arccos(-5/6)) ?

The value of cot(arccos(-5/6)) is -(5sqrt(11))/(11)

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cot(arccos(-5/6))

cot (arccos (- \frac{5}{6}))

- \frac{5 11}{11}

Decimal Notation

- 1.50755 \dots

Solution steps

cot (arccos (- \frac{5}{6}))

Rewrite using trig identities:

cot (arccos (- \frac{5}{6})) = \frac{( - \frac{5}{6} )}{1 - ( - \frac{5}{6} ) ^{2}}

Use the following identity:

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

= \frac{( - \frac{5}{6} )}{1 - ( - \frac{5}{6} ) ^{2}}

= \frac{- \frac{5}{6}}{1 - ( - \frac{5}{6} ) ^{2}}

Simplify

= - \frac{5 11}{11}

arcsin (0.549)

tan (0.02)

tan (15 0^{\circ}) sin (31 5^{\circ})

sin (6 0^{\circ}) \cdot cos (3 0^{\circ}) + cos (6 0^{\circ}) \cdot sin (3 0^{\circ})

\frac{90}{sin ( 4 5 ^{\circ} )}

What is the value of cot(arccos(-5/6)) ?
The value of cot(arccos(-5/6)) is -(5sqrt(11))/(11)