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

The solution to cos(arcsin(cos(x))) is sqrt(sin^2(x))

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simplify cos(arcsin(cos(x)))

simplify

cos (arcsin (cos (x)))

sin^{2} (x)

Solution steps

cos (arcsin (cos (x)))

Use the following identity:

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

= 1 - cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

cos (arctan (3 m))

sec (arctan (- \frac{4}{3}) + πn)

tan (θ + 90 0^{\circ})

sec (2) (a x + b) d x

cos (\frac{π}{4} + P)

What is cos(arcsin(cos(x))) ?
The solution to cos(arcsin(cos(x))) is sqrt(sin^2(x))