To remember trigonometric values, mnemonic devices are highly effective. These devices use rhymes, acronyms, or phrases to associate numbers with specific trigonometric functions and angles. For instance, the mnemonic "All Students Take Calculus" (ASTC) is used to remember the sine, cosine, and tangent values for the angles 0°, 30°, 45°, 60°, and 90°. This method is particularly useful because it creates a strong mental connection between the numbers and the functions, making it easier to recall the values during exams or calculations.

The reason mnemonic devices are so effective lies in the brain's ability to remember patterns and associations more easily than isolated facts. According to a study by the University of California, Los Angeles (UCLA), using mnemonic techniques can improve memory by up to 20%. This is because mnemonic devices engage multiple senses and create a vivid mental image, which enhances the encoding and retrieval of information. Additionally, the use of acronyms and rhymes can simplify complex information, making it more accessible and less intimidating for students.

used mnemonic devices to learn trigonometric values, while the other group relied on rote memorization. The results showed that the mnemonic group had a higher retention rate and a faster retrieval time for the learned information. This suggests that mnemonic devices are not only helpful for memorization but also enhance the overall learning process.