What is cos(arcsin(15x)) ?

The solution to cos(arcsin(15x)) is sqrt(1-225x^2)

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simplify cos(arcsin(15x))

simplify

cos (arcsin (15 x))

1 - 225 x^{2}

Solution steps

cos (arcsin (15 x))

Use the following identity:

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

= 1 - (15 x)^{2}

Simplify

= 1 - 225 x^{2}

sin^{3} (- x)

cos (arcsin (y))

csc (- x) - sin (- x)

cos (\frac{π}{2} - y)

9 - (3 sin (x))^{2}