What is the value of cot(arcsin(1/3)) ?

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

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cot(arcsin(1/3))

cot (arcsin (\frac{1}{3}))

22

Decimal Notation

2.82842 \dots

Solution steps

cot (arcsin (\frac{1}{3}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= 22

15 cos (4 0^{\circ})

arcsin (sin (- \frac{π}{2}))

arctan (\frac{7.4}{14})

\frac{7 sin ( 5 3 ^{\circ} )}{sin ( 4 4 ^{\circ} )}

tan (\frac{π}{4} - \frac{π}{6})

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