What is the value of cot(arccos(1/2)) ?

The value of cot(arccos(1/2)) is (sqrt(3))/3

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cot(arccos(1/2))

cot (arccos (\frac{1}{2}))

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

cot (arccos (\frac{1}{2}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{3}{3}

tanh (- 2)

sin (4.3)

sec (- 39 0^{\circ})

\frac{8}{sin ( 4 0 ^{\circ} )}

62 sin (\frac{7 π}{4})

What is the value of cot(arccos(1/2)) ?
The value of cot(arccos(1/2)) is (sqrt(3))/3