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Ideal for High School and College Level Curriculums


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Suggested Topics
  • The Trigonometric Functions
  • Trigonometric Identities and Equations
  • Trigonometric Functions of Any Angle
  • Oblique Triangles: Law of Sines
  • Oblique Triangles: Law of Cosines
  • Vectors and Scalars
  • The Algebra of Vectors
  • Simple Harmonic Motion
  • Polar Representation of Complex Numbers
  • Powers and Roots of Complex Numbers

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What is Trigonometry

Trigonometry is a specialist branch of geometry that deals with the study of triangles. It is sometimes informally referred to as trig. In trigonometry, mathematicians study the relationships between the sides and angles of triangles. Right triangles are triangles with one angle of 90 degrees and are a key area of study in this area of mathematics. It may be well you effort to read Common Algebraic and Calculus Errors for some helpful information.

The word trigonometry is commonly believed to originate from the Greek words trigonon and metron which mean trianglemeasure respectively. This is a very old science that may have been used in a basic form in ancient Egypt. It was the Greeks that formalized the first trigonometric functions, starting with Hipparchus of Bithynia in around 150 B.C.

Trigonometric functions describe the relationships between the angles and sides of a triangle. In modern mathematics, there are six main trigonometric functions, also called trigonometric formulas: sine, tangent, secant, cosine, cotangent and cosecant. These functions describe the ratios of the sides of right triangles.

Trigonometric identities are algebraic equations that are important elements of the study of triangles. Trigonometric identities include Pythagorean identities, reduction formulas and cofunction identities. Often a trigonometry calculator is used to solve trig problems. Trigonometry courses may cover study topics such as how to use the trigonometric functions to solve right triangles, and the Pythagorean Theorem. In addition, non-right angled triangles can be solved using the sine and cosine trigonometric functions. More advanced educational courses may include the study of complex numbers, polar coordinates, De Moivre's Theorem, and Euler's Formula.

About this page

On the left, under the Suggested Topics is a list of topics typically found in most High School or College level Trigonometry curriculums. The difference is in the level of depth, scope and complexity of that topic. The list is provided to help you determine where you may need tutoring. Your particular topic may not be listed, but that does not imply that tutoring is unavailable. Just contact me and inquire if I can offer tutoring for your particular needs. I will promptly respond and you can decide what further action is required.

I have numerous texts on this subject and I am confident that whatever difficulties you are having in Trigonometry, I can be of assistance. I wish you the best of luck in your academic success and look forward to any inquiry you may send on how I may be able to help you.

Questions or concerns

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