1. ## urgent homework

sin (theta + pi/4) = 1/2

2. Originally Posted by gustavolopez
sin (theta + pi/4) = 1/2
I assume you want to solve this equation ....? Is a domain given or do you want the general solution?

3. No there is no domain given, can you please just find the general solution

4. Originally Posted by gustavolopez
sin (theta + pi/4) = 1/2
$\theta + \frac{\pi}{4} = \frac{\pi}{6} + 2 n \pi$ or $\theta + \frac{\pi}{4} = \frac{5\pi}{6} + 2 n \pi$ where $n$ is an integer.

I'm sure you can make $\theta$ the subject and simplify.