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

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

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simplify cos(arcsin(x/a))

simplify

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

\frac{a ^{2} - x ^{2}}{a}

Solution steps

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

Use the following identity:

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

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

Simplify

= \frac{a ^{2} - x ^{2}}{a}

2 sin (3 x + π)

cos (3 π x + \frac{π}{2})

cos (6 0^{\circ} - x)

(sec^{2} (π x) - 1)^{3}

cos (3 x + 3 π)

What is cos(arcsin(x/a)) ?
The solution to cos(arcsin(x/a)) is (sqrt(a^2-x^2))/a