Simplify sin(theta)cos(30)+cos(theta)sin(30)

$\sin (θ) \cos (30) + \cos (θ) \sin (30)$

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

$\sin (θ) \frac{\sqrt{3}}{2} + \cos (θ) \sin (30)$

Combine $\sin (θ)$ and $\frac{\sqrt{3}}{2}$ .

$\frac{\sin (θ) \sqrt{3}}{2} + \cos (θ) \sin (30)$

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$\frac{\sin (θ) \sqrt{3}}{2} + \cos (θ) \frac{1}{2}$

Combine $\cos (θ)$ and $\frac{1}{2}$ .

$\frac{\sin (θ) \sqrt{3}}{2} + \frac{\cos (θ)}{2}$