What is the value of cot(arcsin(5/6)) ?

The value of cot(arcsin(5/6)) is (sqrt(11))/5

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cot(arcsin(5/6))

cot (arcsin (\frac{5}{6}))

\frac{11}{5}

Decimal Notation

0.66332 \dots

Solution steps

cot (arcsin (\frac{5}{6}))

Rewrite using trig identities:

cot (arcsin (\frac{5}{6})) = \frac{1 - ( \frac{5}{6} ) ^{2}}{( \frac{5}{6} )}

Use the following identity:

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

= \frac{1 - ( \frac{5}{6} ) ^{2}}{( \frac{5}{6} )}

= \frac{1 - ( \frac{5}{6} ) ^{2}}{\frac{5}{6}}

Simplify

= \frac{11}{5}

2 cos (2 (0))

sin (arccos (- \frac{2}{7}))

cos (1.5708)

arctan (\frac{- 5}{- 5})

sin (30 0^{\circ}) + cos (39 0^{\circ}) + tan (54 0^{\circ})

What is the value of cot(arcsin(5/6)) ?
The value of cot(arcsin(5/6)) is (sqrt(11))/5