What is cos(arcsin(x/4)) ?

The solution to cos(arcsin(x/4)) is (sqrt(16-x^2))/4

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simplify cos(arcsin(x/4))

simplify

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

\frac{16 - x ^{2}}{4}

Solution steps

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

Use the following identity:

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

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

Simplify

= \frac{16 - x ^{2}}{4}

cos (2 θ - \frac{π}{2})

sin (9 0^{\circ} + a)

tan (π - x)

sin (9 0^{\circ} + θ)

cos (2 π - x)