Mathematics

You're working with a right triangle hidden inside the trig function. Since you know $\sin x = \frac{3}{5}$, you can use the Pythagorean identity to find $\cos x$, then build the other trig ratios you need. The key is recognizing that in the first quadrant all ratios are positive, so you can confidently find $\cos x$ without worrying about sign ambiguity.

You're working with a right triangle hidden inside the trig function. Since you know $\sin x = \frac{3}{5}$, you can use the Pythagorean identity to find $\cos x$, then build the other trig ratios you need. The key is recognizing that in the first quadrant all ratios are positive, so you can confidently find $\cos x$ without worrying about sign ambiguity.