Remembering identities and formula is the most annoying thing about trigonometry. After all, when you are pressed for time, you can’t go about deriving everything and remembering the right identities could make a world of difference to you in exams. Students usually turn to an online trigonometry tutor to learn the subject comprehensively and there are a few tricks and tips that are sure to help everyone in their exams. Here are a couple of tips to help you remember trig formula and identities.
There is no substitute to learning the derivations
Yep! To be able to remember formula and identities, it is imperative that you learn to derive them and most of them can be derived with Euler’s formula:
eix = cosx + isinx
With this formula, you can derive all the identities from Pythagorean identity to the double angle formulae. Spending time on this and understanding all the steps involved is essential and this is sure to help you in case you forget any important step during exams. Read on to learn a few tricks that can serve as good trigonometry assignment help and also help you in acing your exams.
Make up mnemonics to learn identities
You can make up simple songs or mnemonics to learn and remember the identities (of course, only after you’ve understood them completely). This will help you speed up while solving problems and learning this way has been proven to be beneficial as you don’t forget things learnt in this fashion.
Make up index cards and flash cards for important formulae
Write down important identities in an index card and write certain important formulae in blue boxes or inside a box so that you remember them easily. Keep looking at this daily or every day during revision and this is sure to stay on.
Learn trig identities using a hexagon
Look up the hexagon of trigonometric identities on Wiki or on the internet and learn most of the identities in a simple fashion!
Remember SOH, CAH and TOA and you can remember all identities
This is a very simple way to remember the identities. Pick any right angled triangle and consider an angle other than the right angle. The side that is exactly opposite to this angle is called opposite and the one that interconnects the right angle and the angle of choice is the adjacent while the other is the hypotenuse. You just have to remember SOH, CAH and TOA and the rest can be derived with ease!
A few more tricks
Remembering a couple of easy facts can help you in effective problem solving and even serve as the best trigonometry homework help for you and they are:
- Sinx is odd while cosx is an even function.
- Learn the values of sine and cosine at the following: 0, pi/4, pi/2 and pi.
- Learn the definitions of sine, cosine, tangent, cotangent, secant and cosecant well.
- Use the Pythagorean Theorem and learn it well.
- Remember the following formula and learn that the alphabets used are arbitrary and A, B can be replaced by any Greek alphabet and the result would still be the same.
- Addition Formula
- Subtraction Formula
- Double Angle Formula
- Half Angle Formula
Learning to derive all the identities is the best means to learn the topic at hand. However, learning these tricks could help students up their game during exams and perform in a stress manner thus