What is the value of cot(arcsin(5/13)) ?

The value of cot(arcsin(5/13)) is 12/5

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cot(arcsin(5/13))

cot (arcsin (\frac{5}{13}))

\frac{12}{5}

Decimal Notation

2.4

Solution steps

cot (arcsin (\frac{5}{13}))

Rewrite using trig identities:

cot (arcsin (\frac{5}{13})) = \frac{1 - ( \frac{5}{13} ) ^{2}}{( \frac{5}{13} )}

Use the following identity:

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

= \frac{1 - ( \frac{5}{13} ) ^{2}}{( \frac{5}{13} )}

= \frac{1 - ( \frac{5}{13} ) ^{2}}{\frac{5}{13}}

Simplify

= \frac{12}{5}

arctan (- \frac{2}{2 3})

cos (\frac{5 π}{4} - \frac{7 π}{6})

- cos (2) (\frac{π}{2})

arcsin (\frac{5}{12 sin ( 3 5 ^{\circ} )})

15 cos (0)