What is cos(arcsin(12x)) ?

The solution to cos(arcsin(12x)) is sqrt(1-144x^2)

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simplify cos(arcsin(12x))

simplify

cos (arcsin (12 x))

1 - 144 x^{2}

Solution steps

cos (arcsin (12 x))

Use the following identity:

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

= 1 - (12 x)^{2}

Simplify

= 1 - 144 x^{2}

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

sin (\frac{π}{2} - a)

tan (x + \frac{π}{4})

sin^{2} (- cos^{2} (x))

cot (\frac{3 π}{2} + x)