What is cos(arcsin(20x)) ?

The solution to cos(arcsin(20x)) is sqrt(1-400x^2)

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simplify cos(arcsin(20x))

simplify

cos (arcsin (20 x))

1 - 400 x^{2}

Solution steps

cos (arcsin (20 x))

Use the following identity:

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

= 1 - (20 x)^{2}

Simplify

= 1 - 400 x^{2}

sin (18 0^{\circ} + a)

3 sin (2 x + \frac{π}{3})

sin (18 0^{\circ} + θ)

cos (arctan (u))

4 cos (4 π + x)