Trigonometry Definitions and Formulae
Trigonometry can be challenging. Many students often struggle with this topic. However, once we master all the formulae, trigonometry can easily become one of math's top-scoring topics. We also have tips on how to approach trigonometry problems
MATH TOPICS
INTRODUCTION TO TRIGONOMETRY
Suppose we want to measure how tall the Lighthouse is or how far the ship is. It is not feasible to use measuring tape to measure distance. Hence, Trigonometry is applied to find answers to such questions. Trigonometry is a branch of mathematics applied to various branches of astronomy, marine engineering, music, graphics etc
To Master Trigonometry, It is important to master the Pythagoras Theorem
The first step to solve any trigonometry equations is to go through all the formulae. Although trigonometry has numerous formulae, the most important are shown below:
Once we master the above trigonometry formulae, we have to target the complex side first and convert tan, sec, cosec(csc), and cot into sin and cos. Use the relation between sin and cos to convert the equation into sin or cos which would result in to a simple linear equation, which is easier to solve. Expansion of the equations can further help you to solve the equations faster. Lastly, Practice, Practice and Practice!!
Looking to conquer trigonometry?
At Aussie Math Tutor NSW, we offer a wealth of resources to help you master trigonometry. Our materials are carefully designed to build your confidence and proficiency in this subject. We provide extensive learning materials such as practice tests and worksheet to guide you through the subject. Our resources are tailored to help students feel confident and competent in trigonometry.
Trigonometry Formulae for angles greater than 90
Click here to Practice Trigonometry questions.
Improved Guide to Solving Trigonometry Problems
Solving trigonometry questions typically involves the following steps:
Understand the problem: Read the question and identify givens, unknowns and what needs to be found.
Draw a diagram: If the questions deals with geometry, draw a diagram for better understanding. Label angles, sides, and information. This will provide a holistic view.
Choose trigonometric functions: Use the trigonometric functions to convert all the information into sine, cosine. Determine which functions can be applied based on the given information and what needs to be found.
Create an equation: Relate known and unknown values. Ensure the equation accurately reflects the problem's conditions.
Solve for the unknown: Use algebra or inverse trig functions.
Check the solution: Verify your solution by plugging your answers back into the original equation or use the solution it in the context of the problem.
Apply identities (if needed): Simplify expressions or find alternative solutions.
Use a calculator: Find values for non-exact answers.
Practice: The more you practice, the better you will have a grasp on solving Trigonometric problems
Trigonometry might seem tricky at first, but you can definitely master it!
Just like other math topics, practice is key. Even though you'll learn new words and symbols, the thinking process is similar to what you already know from algebra and geometry.
The secret to success? Break down problems into smaller steps and try to picture what’s happening.
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