Trigonometric Identities – Most Important Proofs for Class 10 Boards | CBSE | ICSE

Описание: In this lecture, we solve high-frequency Trigonometric Identity questions by proving LHS = RHS step by step — exactly the way examiners expect in Class 10 Board Exams.


playlist address _    • CHAP 21 TRIGONOMETRIC IDENTITIES | ICSE CL...  



These questions are among the most repeated and most important trigonometric identities asked in:

CBSE Class 10 Mathematics
ICSE Class 10 Mathematics
UAE Board Schools (CBSE / ICSE )

📌 What you’ll learn in this video:
How to systematically start from LHS and reach RHS
Smart algebraic manipulations using standard trigonometric identities
Handling square roots, sec, cosec, tan, cot confidently
Avoiding common board-exam mistakes
Writing neat, step-wise proofs to score full marks

📌 Questions covered include identities like:
Expressions involving sec, cosec, tan, cot
Radical (√) based trigonometric identities
Board-level “Prove that” questions
High-probability identities asked just before exams

These are the three fundamental (Pythagorean) identities that appear in both CBSE and ICSE syllabi:

sin²θ + cos²θ = 1
(Most important — appears in almost every board question)
1 + tan²θ = sec²θ
1 + cot²θ = csc²θ (or cosec²θ)

sin²θ = 1 – cos²θ
cos²θ = 1 – sin²θ
tan²θ = sec²θ – 1
cot²θ = csc²θ – 1
sec²θ – tan²θ = 1
csc²θ – cot²θ = 1

Reciprocal Identities (Very Basic — Always Useful)
These are definitions, not "new" identities, but appear in simplifications:
sin θ = 1 / csc θ
cos θ = 1 / sec θ
tan θ = 1 / cot θ
csc θ = 1 / sin θ
sec θ = 1 / cos θ
cot θ = 1 / tan θ


🎯 Perfect for:

Class 10 CBSE students
Class 10 ICSE students
UAE-based students preparing for boards
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Disclaimer:
📝📝📝 While I have taken care to ensure the accuracy of the information presented, this channel assumes no responsibility or liability for any errors or omissions. You are requested to consult standard textbooks in case of any confusion.
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