Trigonometry 

In this Trigonometry class, we will explore the fundamental concepts that form the foundation of this important branch of mathematics. The class will begin by introducing the basic trigonometric ratios: sine, cosine, and tangent, which relate the angles of a right-angled triangle to the lengths of its sides. We will discuss how to calculate these ratios for given angles and how to apply them in problem-solving.

Students will also learn about the reciprocal trigonometric ratios: cosecant, secant, and cotangent, and how they are related to sine, cosine, and tangent respectively. We will examine the Pythagorean identity 

sin

⁡

2

𝜃

+

cos

⁡

2

𝜃

=

1

sin 

2

 θ+cos 

2

 θ=1, a key concept in trigonometry, and explore how to use it in simplifying expressions.

The class will also cover real-world applications of trigonometry, such as calculating distances and heights, and solving problems involving angles of elevation and depression. We will delve into trigonometric equations and how to solve them, as well as some important identities that simplify complex problems.

By the end of the class, students will have a solid understanding of trigonometric functions and  identities providing a strong foundation for further study in mathematics and science.