arcsin(x)=2 — step-by-step solution

Let's solve in

ℝ

\arcsin (x) = 2

\arcsin

takes its values in

[- \frac{π}{2}, \frac{π}{2}]

, which does not contain

2

\arcsin (x) = 2

has no solution

Solution:

x \in \emptyset

Let's find the domain of

\arcsin (x) = 2

For the expression

\arcsin (x)

to exist, you must check:

| x | \leq 1

| A | \leq B

is equivalent to

- B \leq A \leq B

-1 \leq x \leq 1

Domain constraints:

x \in [-1, 1]

▶Solution:

x \in \emptyset