It can be safely said that trigonometry is one of the most hated topics in maths. Even the smartest of students find it difficult to deal with the topic, especially when it comes to trigonometric identity proving. Trigonometric identity proving is a common question that students get for their math homework. Unlike most other concepts, it does not have a standard path which you can follow to arrive at the answer. Every identity proving question will be new to you, and you will need to develop a unique approach for it. This is why students look for help with maths homework more often when they are working on a question related to trigonometric identity proving.
Even though there is no fixed approach, there are some tricks and tips that can help you with solving trigonometry identity-proving questions. Here are 5 such tricks that can aid you:
1. Go Step by Step
When you have been taught to do maths in your primary standards, your teachers would have always emphasized approaching the question step by step carefully. As students grow up, they forget this approach. Most students attempt to solve the question in their minds as soon as they see the question. This is a very ineffective approach when it comes to a complex concept like trigonometry. Don’t start scribbling on paper before you have a map of steps in your mind. Approach the question steadily, pausing after each step to increase clarity and accuracy.
2. Start from the More Complex Side
Students have the liberty of solving the trigonometric identity from either of the sides. Generally, one of the sides has a more complex function than the other. Students always tend to start with the simpler side, but starting with the more complex side is a smarter approach. This is because it is easier to make a complex function simpler by eliminating terms than it is to find terms to add to the simpler function to make it workable.
3. Combine the Terms
This is one tip that will massively help in simplifying certain equations for you. When you have two terms on one side, and one term on the other, try to combine the two terms on the same side into one fraction by making their denominators the same.
4. Determine Where to Apply DAF
Another common problem students face is determining when to use the double angle formula(DAF). To find out whether DAF is appropriate or not, observe the terms carefully. If there are terms with angles that are 2 times the other, only then you need to apply DAF to transform them to simpler angles. Follow this thumb rule to use DAF correctly.
5. Convert Everything to Sine and Cosine
Half of the confusion arises because you are dealing with multiple terms in a single equation. This confuses the students as to which approach to take. To tackle this problem, express all terms of tan, sec, cosec, and cot in terms of sin and cos. This will standardize both sides and make it easier for you to compare the sides.
Trigonometry identity proving questions sure is a dreadful thing to deal with in your maths homework. Follow the tricks above to make them manageable. In case you need more help with maths homework, consider taking aid from a maths homework help service.
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