What is the value of cot(arccos(-3/4)) ?

The value of cot(arccos(-3/4)) is -(3sqrt(7))/7

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cot(arccos(-3/4))

cot (arccos (- \frac{3}{4}))

- \frac{3 7}{7}

Decimal Notation

- 1.13389 \dots

Solution steps

cot (arccos (- \frac{3}{4}))

Rewrite using trig identities:

cot (arccos (- \frac{3}{4})) = \frac{( - \frac{3}{4} )}{1 - ( - \frac{3}{4} ) ^{2}}

Use the following identity:

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

= \frac{( - \frac{3}{4} )}{1 - ( - \frac{3}{4} ) ^{2}}

= \frac{- \frac{3}{4}}{1 - ( - \frac{3}{4} ) ^{2}}

Simplify

= - \frac{3 7}{7}

100 sin (1 5^{\circ})

tan (arccos (\frac{1}{5}))

- arccos (0)

- 100 cos (6 0^{\circ})

arccos (\frac{16}{65})

What is the value of cot(arccos(-3/4)) ?
The value of cot(arccos(-3/4)) is -(3sqrt(7))/7