Question

true or false; for a trigonometric function y=f(x) the x=f^-1(y). explain answer

Answer 1

yes

Answer 2

how do you know?

Answer 3

its true.....an inverse fn returns the input value if we giv aoutput

Answer 4

if y=f(x) and we take f inverse of both sides we have,
\[f^{-1}(y)=f^{-1}(f(x))=f^{-1}(y)=x\]
if of course f is one to one