What is cos(arcsin(5x)) ?

The solution to cos(arcsin(5x)) is sqrt(1-25x^2)

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simplify cos(arcsin(5x))

simplify

cos (arcsin (5 x))

1 - 25 x^{2}

Solution steps

cos (arcsin (5 x))

Use the following identity:

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

= 1 - (5 x)^{2}

Simplify

= 1 - 25 x^{2}

csc (arctan (x - 2))

cos (n \cdot π)

sin (θ + \frac{π}{2})

tan (2 π - x)

cos (18 0^{\circ} + θ)