Trigonometry

Sum and difference formulas We have seen in the past cases where we had to use these sum and difference formulas. At this stage, we are now exploring them to be able to use them […]

Trigonometric functions: Tangent of an angle We are following our introduction to the trigonometric functions. It was necessary to go through some reminders in geometry to be able to understand the next topics in Trigonometry. […]

Elementary trigonometric functions After having introduced the first three trigonometric functions of a given angle , now we are going to introduce their reciprocals. Secant: This is the reciprocal of the noted .

Graphs of Elementary Trigonometric Functions To see the functions in a clear manner, we’ll graph the trigonometric functions on the same graph as their reciprocals This means that the curve and the curve are graphed […]

Trigonometric functions Trigonometric functions Unit Circle radius is 1 (Unity): Before we dive into the trigonometric functions, it is understood that the student already knows the following: -Basic knowledge of similar triangles. -Definition of circle. […]

The passing Airplane The passing Airplane A navigator on board a ship at anchormeasures the angle of inclination of 28 degrees to an approaching airplane at exactly 10:59:50Hrs. The altitude of the plane at that […]

Right Spherical Triangle Case of the Right spherical triangle: Right at . If the triangle has more than one interior angle with a value of , it is said to be oblique. The Napier’s Circle: […]

Spherical trigonometry The spherical trigonometry is the branch of spherical geometry which deals with spherical triangles defined by great circles on the sphere. It allows us to calculate the trigonometric functions of the sides and […]

Hyperbolic functions We have used some hyperbolic functions relations in some of our chapters. This is a summary of these functions to enable us to use them in future chapters. We’ll go through their definitions […]

Trigonometric  formulas and identities Since we have seen all the basic formulas, we are going to start listing them now and prepare for problem solving. In some cases, We’ll add some extra steps to show […]

Formules trigonométriques et identités Nous avons pratiquement pris connaissance de beaucoup de formules trigonométriques. Il est temps de les mettre sur une liste et commencer à nous préparer dans la résolution des problèmes. Dans certains des […]

Formules d’addition en trigonométrie Ce sont des formules que nous avons déjà utilisées. A ce stade, nous allons les voir plus en détails pour pouvoir les utiliser de façon plus efficace. Nous savons trouver les […]

Unit Circle, important angles Now that we have seen some of the trigonometric functions, it is time to start putting elements together to get ready for solving trigonometric problems. In this part of our trigonometry adventure, we […]