Find All Complex Solutions 2sin(theta)+3=-csc(theta)

$2 \sin (θ) + 3 = - \csc (θ)$

Step 1

Add $\csc (θ)$ to both sides of the equation.

$2 \sin (θ) + 3 + \csc (θ) = 0$

Step 2

Rewrite $\csc (θ)$ in terms of sines and cosines.

$2 \sin (θ) + 3 + \frac{1}{\sin (θ)} = 0$

Step 3

Convert from $\frac{1}{\sin (θ)}$ to $\csc (θ)$ .

$2 \sin (θ) + 3 + \csc (θ) = 0$