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}

32 cos (2 5^{\circ})

sin (4) (\frac{π}{2})

15 sin (15 0^{\circ})

arcsin (\frac{7.5}{10})

cos (\frac{10}{10 5})

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