# How do you solve sinx+3=3?

##### 2 Answers
Sep 13, 2016

$x = 0$

#### Explanation:

We have: $\sin \left(x\right) + 3 = 3$

First, let's subtract $3$ from both sides of the equation:

$\implies \sin \left(x\right) + 3 - 3 = 3 - 3$

$\implies \sin \left(x\right) = 0$

Then, let's take the $\arcsin$ of both sides:

$\implies \arcsin \left(\sin \left(x\right)\right) = \arcsin \left(0\right)$

$\implies x = 0$

Sep 13, 2016

$x = k \pi$

#### Explanation:

sin x + 3 = 3
sin x = 0
Unit circle -->
sin x = 0 --> x = 0, $x = \pi$, and $x = 2 \pi$
General answers:
$x = k \pi$