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}

sin (\frac{π}{6}) + cos (2 \frac{π}{6})

2 cos^{2} (24 0^{\circ}) + 3 sin (24 0^{\circ})

cot (arcsin (\frac{6}{7}))

- cos (21 0^{\circ}) - sin (31 5^{\circ})

\frac{1}{2} sec (2) tan (2) + \frac{1}{2} ln (sec (2) + tan (2))

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