What is arcsin(sin(pi/2-x)) ?

The solution to arcsin(sin(pi/2-x)) is arcsin(cos(x))

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simplify arcsin(sin(pi/2-x))

simplify

arcsin (sin (\frac{π}{2} - x))

arcsin (cos (x))

Solution steps

arcsin (sin (\frac{π}{2} - x))

Rewrite using trig identities

= arcsin (cos (x))

3 cos (2 x + \frac{1}{3} π)

sin (2 x + 2 π)

sin (u + \frac{π}{3})

(1 - cos (t)) - (1 - cos (t - π))

cos (a + \frac{π}{2})

What is arcsin(sin(pi/2-x)) ?
The solution to arcsin(sin(pi/2-x)) is arcsin(cos(x))