Trigonometry and Its Applications .pptx

its project ppt for class 10 on topic trignometry and its application by vishwaraj ganesh pomane

1. Trigonometry and Its Applications Understanding the Basics and Exploring Practical Uses

2. Introduction to Trigonometry trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant ( csc ).

3. Basic Trigonometric Functions The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

4. Pythagorean trigonometric identity The Pythagorean identity tells us that no matter what the value of θ is, sin²θ+cos²θ is equal to 1. This follows from the Pythagorean theorem, which is why it's called the Pythagorean identity!

5. Sum and Difference Identities

6. Applications of Trigonometry: Trigonometry and its functions have an enormous number of uses in our daily life. For instance, it is used in geography to measure the distance between landmarks, in astronomy to measure the distance of nearby stars and also in the satellite navigation system.