Welcome to trigonometry! Today we'll explore the fundamental ratios that form the building blocks of this fascinating subject.Let's start with a right triangle. Every right triangle has three sides: the hypotenuse, opposite, and adjacent.The angle theta creates relationships between these sides that we call trigonometric ratios.Let's learn the three main ratios using the memory device SOH-CAH-TOA.SOH stands for Sine equals Opposite over Hypotenuse.CAH represents Cosine equals Adjacent over Hypotenuse.And TOA means Tangent equals Opposite over Adjacent.A fascinating property of trigonometric ratios is that they remain constant for similar triangles of different sizes.As long as the angle remains the same, the ratio of corresponding sides stays constant.This means that sine theta will be the same whether we calculate it using a small triangle or a large one.
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