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

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

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cos(arcsin(5/6))

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

\frac{11}{6}

Decimal Notation

0.55277 \dots

Solution steps

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

Rewrite using trig identities:

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

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

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

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

Simplify

= \frac{11}{6}

cot (\frac{7}{2})

\frac{sin ( 5 \cdot 0 )}{0}

2 sin^{2} (6 0^{\circ})

\frac{1}{8} [cos (0) + 2 cos (\frac{1}{16}) + 2 cos (\frac{1}{4}) + 2 cos (\frac{9}{16}) + cos (1)]

tan^{2} (4 5^{\circ} + \frac{25}{2}) \cdot e^{π \cdot t a n (2 5^{\circ})}

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