Trigonometric Functions | 1st PUC 11th CBSE | Mathematics | Part 7 of 12

In this in-depth tutorial, we explore the essential trigonometric identities: sin3x, cos3x, and tan3x. These triple-angle formulas are key to solving advanced trigonometric expressions, simplifying complex problems, and mastering critical concepts for competitive exams like CET, JEE Mains, and board exams.

The triple-angle formulas:
sin3x = 3sinx - 4sin³x
cos3x = 4cos³x - 3cosx
tan3x = 3tanx - tan³x / 1 - 3tan²x

Babu Sir, with over 25 years of teaching experience, walks you through the step-by-step derivation of these formulas and provides practical examples to help you understand and apply them with confidence. His teaching approach is designed to boost your grasp of trigonometry and improve your performance in both school exams and competitive tests.

What you’ll learn:
Core Concepts: How to derive the sin3x, cos3x, and tan3x formulas and understand their relationship with basic trigonometric identities.
Practical Applications: Learn how to use these formulas to simplify trigonometric expressions and solve exam-level problems.
Problem-Solving Techniques: Strategies for efficiently handling competitive exam questions involving triple-angle identities.
This video is ideal for students aiming to strengthen their trigonometry skills and excel in CET, JEE, and board exams. Mastering these triple-angle formulas is essential for developing a strong foundation in advanced mathematical concepts.

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Timestamps:

00:00 - Intro
00:52 - Prove sin 3𝑥 = 3 𝑠𝑖𝑛𝑥 − 4 sin³x m (NCERT, Example 17 , page no. 62)
05:38 - Prove cos 3𝑥 = 4 cos³ 𝑥 − 3 𝑐𝑜𝑠x (NCERT, Example 18 , page no. 62)
08:28 - Prove 𝑡𝑎𝑛3𝑥 = 3𝑡𝑎𝑛𝑥−tan³ 𝑥 / 1−3 tan²x (NCERT, Example 19 , page no. 62)
11:38 - cos 𝑥 + 𝑐𝑜𝑠𝑦 = 2𝑐𝑜𝑠 𝑥+𝑦 / 2 𝑐𝑜𝑠 𝑥−𝑦 / 2 (NCERT, Example 20 (i), page no. 63)
14:30 - Prove cos 𝑥 − 𝑐𝑜𝑠𝑦 = −2𝑠𝑖𝑛 𝑥+𝑦 / 2 𝑠𝑖𝑛 𝑥−𝑦 / 2 (NCERT, Example 20(ii) , page no. 62)

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