Memory Tricks for Trigonometry

In the post titled Trigonometry Formula Memorization Trick, I agreed to write about a simple memory trick for memorizing the value of all major angles of different trigonometry ratios like sin30, cos45, tan60, etc. So here you go –

Values of Trigonometric Angles

Let’s start with most commonly used angles of Sin. The angles are 0°, 30° (?/6), 45° (?/4), 60° (?/3), 90° (?/2). For these angles we’ve to make fractions for which we’ve to write 0, 1, 2, 3 and 4 in the numerators and write 4 in the denominator of each fraction. After that take the square root of each of these fractions and there you are. Refer to the table below for better understanding.

For Cosine we simply have to write the results of Sin in reverse order. Refer to the table below. The values in the Cos row is in reverse order to that of Sin row.

Tan is very simple. You just have to remember that Tan=Sin/Cos. Hence, to get the value of Tan we’ve to divide values of angles of Sin from SinA row by values of angles of Cos from CosA row.


I am glad that of late, many readers have started participating actively in discussions (comments) under various posts. A quick calculation trick/technique/method from your side can also be posted on You just have to write it properly and send it to me at  Don’t forget to write a brief description (2-3 lines) of yours, to be added at the end of the post.

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Vineet Patawari

Hi, I'm Vineet Patawari. I fell in love with numbers after being scared of them for quite some time. Now, I'm here to make you feel comfortable with numbers and help you get rid of Math Phobia!

12 thoughts to “Memory Tricks for Trigonometry”

  1. In a right angled triangled whose sides are positive integers with a base unit 24 . what is the max area unit for the above base is concerned ?,

  2. I remember many concepts in math class where remembering how to construct a table was easier that understanding how the math works. It’s definitely useful to help guide you towards a correct answer, but eventually, you realize that the time spent recreating this table of shortcuts to constantly reference on exams isn’t as helpful as doing lots of practice questions until you understand the concepts and can work through the problems without the tables.

  3. dese tricks r really helpful but we wud love 2 have more tricks i mean number systems,remainder problems ,%age, n profit loss .

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