PPT: Introduction to Trigonometry

# Introduction to Trigonometry Class 10 PPT

``` Page 1

TRIGONOMETRY TRIGONOMETRY
INTRODUCTION INTRODUCTION
C H A P T E R - 8
of of
Page 2

TRIGONOMETRY TRIGONOMETRY
INTRODUCTION INTRODUCTION
C H A P T E R - 8
of of
Trigonometry is like a special branch of
math that deals with triangles and angles.
It's super useful for understanding and
solving problems related to things like
waves, engineering, and even astronomy.
What is Trigonometry?
Page 3

TRIGONOMETRY TRIGONOMETRY
INTRODUCTION INTRODUCTION
C H A P T E R - 8
of of
Trigonometry is like a special branch of
math that deals with triangles and angles.
It's super useful for understanding and
solving problems related to things like
waves, engineering, and even astronomy.
What is Trigonometry?
At the heart of trigonometry are three main
functions: sine, cosine, and tangent, often
abbreviated as sin, cos, and tan. These functions
help us figure out the relationships between the
angles and sides of a triangle. For example, if you
know the length of one side and an angle in a right
triangle, you can use trigonometry to find the
lengths of the other sides.
What is Trigonometry?
Page 4

TRIGONOMETRY TRIGONOMETRY
INTRODUCTION INTRODUCTION
C H A P T E R - 8
of of
Trigonometry is like a special branch of
math that deals with triangles and angles.
It's super useful for understanding and
solving problems related to things like
waves, engineering, and even astronomy.
What is Trigonometry?
At the heart of trigonometry are three main
functions: sine, cosine, and tangent, often
abbreviated as sin, cos, and tan. These functions
help us figure out the relationships between the
angles and sides of a triangle. For example, if you
know the length of one side and an angle in a right
triangle, you can use trigonometry to find the
lengths of the other sides.
What is Trigonometry?
It is the ratios of two sides of a
right angle triangle.
Suppose we have a right-angled
triangle ABC.
Thus the trigonometric Ratios are
defined as the largest side of a
right angle triangle is known as
hypotenuse.
Trigonometric Ratios
Page 5

TRIGONOMETRY TRIGONOMETRY
INTRODUCTION INTRODUCTION
C H A P T E R - 8
of of
Trigonometry is like a special branch of
math that deals with triangles and angles.
It's super useful for understanding and
solving problems related to things like
waves, engineering, and even astronomy.
What is Trigonometry?
At the heart of trigonometry are three main
functions: sine, cosine, and tangent, often
abbreviated as sin, cos, and tan. These functions
help us figure out the relationships between the
angles and sides of a triangle. For example, if you
know the length of one side and an angle in a right
triangle, you can use trigonometry to find the
lengths of the other sides.
What is Trigonometry?
It is the ratios of two sides of a
right angle triangle.
Suppose we have a right-angled
triangle ABC.
Thus the trigonometric Ratios are
defined as the largest side of a
right angle triangle is known as
hypotenuse.
Trigonometric Ratios Trigonometric Ratios
```

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

## FAQs on Introduction to Trigonometry Class 10 PPT

 1. What is trigonometry and why is it important?
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It is important because it has numerous applications in various fields such as physics, engineering, navigation, and architecture. Trigonometry helps us understand and solve real-world problems involving angles and distances.
 2. What are the basic trigonometric functions?
The basic trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions relate the angles of a right triangle to the ratios of the lengths of its sides. The sine function is the ratio of the length of the side opposite the angle to the hypotenuse, the cosine function is the ratio of the length of the adjacent side to the hypotenuse, and the tangent function is the ratio of the length of the opposite side to the adjacent side.
 3. How can I find the value of trigonometric functions for specific angles?
You can find the value of trigonometric functions for specific angles using a calculator or by referring to trigonometric tables. Most calculators have built-in trigonometric functions that allow you to directly calculate the sine, cosine, and tangent of an angle. Trigonometric tables provide pre-calculated values for commonly used angles.
 4. What is the unit circle and how does it relate to trigonometry?
The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. It is used in trigonometry to define the values of trigonometric functions for any angle, not just those within a right triangle. By placing an angle's terminal side on the unit circle, the coordinates of the point where the terminal side intersects the circle give the values of sine and cosine for that angle.
 5. How can I apply trigonometry to solve real-world problems?
Trigonometry can be applied to solve various real-world problems involving angles and distances. For example, it can be used to determine the height of a building by measuring the angle of elevation from a known distance. Trigonometry is also used in navigation to calculate distances and bearings between two points. Additionally, it has applications in physics, such as analyzing the motion of objects subjected to forces or studying wave properties.

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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