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PPT: Introduction to Trigonometry

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 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
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FAQs on PPT: Introduction to Trigonometry

1. What are sin, cos, and tan and how do they relate to a right triangle?
Ans. Sine, cosine, and tangent are trigonometric ratios that compare sides of a right triangle. Sin equals opposite divided by hypotenuse, cos equals adjacent divided by hypotenuse, and tan equals opposite divided by adjacent. These fundamental ratios form the foundation of trigonometry and help solve problems involving angles and distances in real-world scenarios.
2. Why do I need to memorise trigonometric values for standard angles like 30°, 45°, and 60°?
Ans. Standard angle values (30°, 45°, 60°, 90°) appear repeatedly in CBSE Class 10 board exams and competitive problems, saving calculation time during tests. Memorising these trigonometric ratios eliminates the need for calculators and helps identify patterns in problems quickly. Students who master these values typically score higher marks in trigonometry sections compared to those who derive them repeatedly.
3. What's the difference between trigonometric ratios and trigonometric identities, and when do I use each?
Ans. Trigonometric ratios are basic relationships between sides of right triangles (sin, cos, tan), while identities are equations true for all angle values, like sin²θ + cos²θ = 1. Ratios help calculate unknown sides or angles in triangles; identities simplify complex trigonometric expressions and solve equations. Understanding this distinction prevents confusion during problem-solving and algebraic manipulations.
4. How do I know whether to use sine, cosine, or tangent when solving a right triangle problem?
Ans. Identify which two sides of the right triangle you know or need to find. If you have opposite and hypotenuse, use sine; if you have adjacent and hypotenuse, use cosine; if you have opposite and adjacent, use tangent. The acronym SOHCAHTOA (Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent) helps select the correct ratio instantly.
5. Can trigonometric ratios be greater than 1, and what does that actually mean?
Ans. Sine and cosine values always remain between 0 and 1 because they compare a side to the hypotenuse, which is always the longest side. Tangent can exceed 1 when the opposite side is longer than the adjacent side. Understanding these range constraints prevents calculation errors and helps verify whether your answers are reasonable in trigonometry problems.
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