What is the value of cos(arcsin(1/4)) ?

The value of cos(arcsin(1/4)) is (sqrt(15))/4

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cos(arcsin(1/4))

cos (arcsin (\frac{1}{4}))

\frac{15}{4}

Decimal Notation

0.96824 \dots

Solution steps

cos (arcsin (\frac{1}{4}))

Rewrite using trig identities:

cos (arcsin (\frac{1}{4})) = 1 - (\frac{1}{4})^{2}

Use the following identity:

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

= 1 - (\frac{1}{4})^{2}

= 1 - (\frac{1}{4})^{2}

Simplify

= \frac{15}{4}

20 \cdot cos (3 0^{\circ})

tan (6 π)

cos^{2} (7 0^{\circ})

sin (\frac{5}{3} π)

cot (arcsin (- \frac{2}{3}))

What is the value of cos(arcsin(1/4)) ?
The value of cos(arcsin(1/4)) is (sqrt(15))/4