What is cos(arcsin(4x)) ?

The solution to cos(arcsin(4x)) is sqrt(1-16x^2)

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simplify cos(arcsin(4x))

simplify

cos (arcsin (4 x))

1 - 16 x^{2}

Solution steps

cos (arcsin (4 x))

Use the following identity:

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

= 1 - (4 x)^{2}

Simplify

= 1 - 16 x^{2}

sin (\frac{π}{2} + 2 kπ)

tan (arcsec (\frac{x}{3}))

cos (x + \frac{π}{4})

sin (arctan (\frac{x}{4}))

cos (x + 9 0^{\circ})