To remember trigonometric functions, mnemonic devices are highly effective. These devices, such as acronyms or phrases, help to associate the functions with their respective ratios, making them easier to recall. For instance, the acronym "SOH CAH TOA" is commonly used to remember the ratios of sine, cosine, and tangent in a right triangle: Sine equals Opposite over Hypotenuse (SOH), Cosine equals Adjacent over Hypotenuse (CAH), and Tangent equals Opposite over Adjacent (TOA). Additionally, the phrase "All Students Take Calculus" can be used to remember the order of the six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. These mnemonic devices are particularly beneficial for students who struggle with memorization, as they provide a visual or auditory cue that aids in retaining information.

Research supports the effectiveness of mnemonic devices in educational settings. A study published in the "Journal of Educational Psychology" found that students who used mnemonic strategies demonstrated better retention of information compared to those who relied solely on rote memorization. Another study, published in the "British Journal of Educational Psychology," showed that mnemonic techniques improved students' understanding and application of mathematical concepts. These findings highlight the importance of mnemonic devices in enhancing learning and memory, particularly in subjects like trigonometry where memorization is crucial.