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Trigonometry is a branch of mathematics that studies the relationships between the sides and angles of triangles.

Here's a breakdown:

Focus on Right Triangles:

Trigonometry primarily deals with right triangles, which have one angle of 90 degrees.
It explores the ratios of the sides of a right triangle relative to its angles.
Key Concepts:

Trigonometric Ratios: These are the core of trigonometry. They define relationships between the sides and angles of a right triangle. The most common trigonometric ratios are:
Sine (sin): Opposite side / Hypotenuse
Cosine (cos): Adjacent side / Hypotenuse
Tangent (tan): Opposite side / Adjacent side

Other Trigonometric Functions:
Cosecant (csc): 1 / sin
Secant (sec): 1 / cos
Cotangent (cot): 1 / tan
Applications:

Trigonometry has a wide range of applications in various fields, including:
Navigation: Used in GPS systems and ship navigation.
Engineering: Essential for designing structures like bridges and buildings.
Physics: Used in areas like mechanics, optics, and acoustics.
Astronomy: Helps in calculating distances and positions of celestial bodies.
Surveying: Used to measure distances and elevations in land surveying.
In essence, trigonometry provides a powerful set of tools for understanding and solving problems involving angles, distances, and shapes.

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