\( \sin \theta>0 \) and \( \cos \theta>0 \)

In the coordinate plane, when both \( \sin \theta > 0 \) and \( \cos \theta > 0 \), it indicates that the angle \( \theta \) lies in the first quadrant. This is a special place where all trigonometric functions are positive, making it an ideal scenario for solving many math problems, especially in algebra and calculus, as they behave quite nicely! When approaching problems involving angles in the first quadrant, remember common mistakes like overlooking the unit circle's quadrant rules or misreading the signs of the functions. A helpful tip is to always sketch the angle on the unit circle, marking where both sine and cosine are positive—this visual aid can clarify many aspects of trigonometry!