Conclusion – Trigonometric Ratios
Understanding trigonometric ratios and their applications is crucial for solving various problems involving right-angled triangles. These ratios provide a foundational toolset for more advanced topics in mathematics and its applications in science, engineering, and everyday problem-solving. Familiarity with the trigonometric table for standard angles further enhances the ability to quickly and accurately solve trigonometric problems.
Trigonometric Ratios
Trigonometric Ratios: There are three sides of a triangle Hypotenuse, Adjacent, and Opposite. The ratio between these sides based on the angle between them is called Trigonometric Ratio.
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). Trigonometry, a branch of mathematics, focuses on the relationships between the sides and angles of right-angled triangles. Consequently, trigonometric ratios are determined based on these sides and angles.
Table of Content
- What are Trigonometric Ratios?
- Sine (sin)
- Cosine (cos)
- Tangent (tan)
- Cosecant (cosec)
- Secant (sec)
- Cotangent (cot)
- Trigonometric Ratios Table
- Trigonometric Table of Some Specific Angles
- Solving for a Side in Right Triangles with Trigonometric Ratio
- Trigonometric Ratios Examples
- Practice Problems on Trigonometric Ratios
As given in the figure in a right-angle triangle
- The side opposite the right angle is called the hypotenuse
- The side opposite to an angle is called the opposite side
- For angle C opposite side is AB
- For angle A opposite side is BC
- The side adjacent to an angle is called the adjacent side
- For angle C adjacent side is BC
- For angle A adjacent side is AB