\( \therefore \sin \theta = 3 \cos \theta \)

Did you know that the equation \( \sin \theta = 3 \cos \theta \) can be transformed into a more recognizable form using the tangent function? You can rewrite it as \( \tan \theta = \frac{1}{3} \). Understanding the relationship between sine, cosine, and tangent is key in trigonometry and can help you solve a range of problems! Now, how do we find the angles that satisfy this equation? By recognizing \( \tan \theta = \frac{1}{3} \), you can use the inverse tangent function: \( \theta = \tan^{-1}\left(\frac{1}{3}\right) \). This gives you an angle in the first quadrant, but remember that the tangent function is periodic, so there will be additional solutions in other quadrants as well!