Question

are cos^-1(x) and (cos(x))^-1 the same?, i mean cos^-1(x) = (cos(x))^-1?

Answer 1

Im going to say no as cos^-1 is the inverse cosine function where (cos(x))^-1 should mean in the denominator such as 1/(cos(x))

Answer 2

now, similarly would cos^-2(x) be equal to (cos(x))^-2? then why is it this way?