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

The solution to sin(pi/2-arcsin(x)) is sqrt(1-x^2)

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

simplify

sin (\frac{π}{2} - arcsin (x))

1 - x^{2}

Solution steps

sin (\frac{π}{2} - arcsin (x))

Rewrite using trig identities

= cos (arcsin (x))

Use the following identity:

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

= 1 - x^{2}

sec (- 4 x)

cos (arccsc (3 x - 3))

sin (- n x)

sin (\frac{x}{cos ( x )})

sec (arctan (3 x))

What is sin(pi/2-arcsin(x)) ?
The solution to sin(pi/2-arcsin(x)) is sqrt(1-x^2)