An Introduction to Trigonometry | Exploring the Relationships between Angles and Sides in Mathematics

What is trigonometry?

Trigonometry is a branch of mathematics that focuses on the relationships between angles and the lengths of sides in triangles

Trigonometry is a branch of mathematics that focuses on the relationships between angles and the lengths of sides in triangles. It studies the properties and functions of triangles, particularly right triangles, which have one angle equal to 90 degrees.

Trigonometry is based on the concept of ratios, specifically the ratios of the sides of a right triangle. The three main trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions provide a way to calculate the relationships between angles and sides in a triangle.

The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. And the tangent of an angle is the ratio of the sine to the cosine, or the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Trigonometry has numerous applications in various fields, including physics, engineering, architecture, computer graphics, navigation, and astronomy. It is used to solve problems involving distances, heights, angles of elevation or depression, and more. Trigonometric functions and identities are also important tools in calculus and other branches of mathematics.

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