A triangle's clues lie in what it offers you, beta. SOHCAHTOA is for right-angled triangles, when you know an angle and a side. The sine and cosine rules are for any triangle, used when you have different pairs of sides and angles given—like a puzzle where the missing piece decides your tool. And sin, cos, tan? They are simply ratios of sides, a fixed relationship for a given angle, much like the fixed rhythm of my sewing machine's pedal.
I explain this while tutoring the grocer's son, for a small fee that buys my *cha*. It reminds me that these rules, like my stitching, are not random—they are precise tools for specific measurements.
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