What is the value of cos(arcsin(1/6)) ?

The value of cos(arcsin(1/6)) is (sqrt(35))/6

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cos(arcsin(1/6))

cos (arcsin (\frac{1}{6}))

\frac{35}{6}

Decimal Notation

0.98601 \dots

Solution steps

cos (arcsin (\frac{1}{6}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{35}{6}

sec (1 8^{\circ})

cos (18 0^{\circ}) - sin (18 0^{\circ})

cos (\frac{30}{2})

5 sin (\frac{5 π}{4})

sin (4 (\frac{π}{8}))

What is the value of cos(arcsin(1/6)) ?
The value of cos(arcsin(1/6)) is (sqrt(35))/6