Question

The expression sin^-1(4/5) has and infinite number of values. True or false?

Answer 1

It is indeed false.

$\sin^{-1}x$ is a function that takes values of $x$ between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence $\sin^{-1}x$ is one-to-one.

It's true that $\sin x=\frac45$ has infinitely many solutions, but $\sin x$ itself is not one-to-one.

Answer 2

Answer:

False

Step-by-step explanation: