209-NCERT New Syllabus Grade 10 Introduction to Trigonometry Ex-8.3

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NCERT New Syllabus Mathematics

Class: 10

Exercise 8.3

Topic: Introduction to Trigonometry

Introduction to Trigonometry: Unlocking the Secrets of Angles

Welcome to the world of Trigonometry, where we explore the hidden relationships between angles and lengths that have fascinated mathematicians for centuries! Trigonometry, derived from the Greek words "trigonon" (triangle) and "metron" (measure), takes us on an exciting journey, unraveling the geometry of triangles and helping us solve complex real-world problems — from calculating the heights of mountains to navigating through the stars!

Class 10 introduces the basic trigonometric ratios, which form the foundation of everything from surveying to advanced physics. This chapter will empower you to solve problems involving right-angled triangles and lead you toward a deeper understanding of the angles that shape the world around us.

Are you ready to decode the mystery of angles and embrace the power of trigonometry? Let’s get started!

Click here to explore the Basics of Trigonometry - Part 1

Click here to explore the Basics of Trigonometry - Part 2 

EXERCISE 8.3

Q 1. Express the trigonometric ratios sin A, sec A, and tan A in terms of cot A.

Solution:

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Q 3. Choose the correct option. Justify your choice.

(i) 9 sec² A – 9 tan² A =

(A) 1 (B) 9 (C) 8 (D) 0

(ii) (1 + tan θ + sec θ) (1 + cot θ – cosec θ) =

(A) 0 (B) 1 (C) 2 (D) –1

(iii) (sec A + tan A) (1 – sin A) =

(A) sec A (B) sin A (C) cosec A (D) cos A

(iv) [1 + tan² A] / [1 + cot² A] =

(A)  sec² A (B) –1 (C) cot² A (D) tan² A

Solution:

Ans:

Solution:

Ans:

Wrapping Up: Your Journey into Trigonometry Begins Here!

As we conclude this introduction to trigonometry, you’ve taken the first steps toward mastering a concept that extends far beyond the classroom. From calculating distances to understanding the intricacies of wave patterns and even space exploration, trigonometry is your gateway to a world of endless possibilities. Keep exploring, keep practicing, and soon you'll find yourself confidently solving real-world problems with the power of trigonometric ratios.

Stay curious and remember — this is just the beginning! The more you engage with trigonometry, the clearer its magic becomes.

Let’s keep learning together and unravel the mysteries of triangles, one angle at a time!

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#TrigonometryBasics #MathForClass10 #NCERTMath #TrigonometryMadeEasy #LearnWithTriangles #MathMagic #MathInEverydayLife #Class10Mathematics #MathematicalThinking #STEMLearning

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Anil Satpute