CUET 2026 Maths | Inverse Trigonometric Functions Part 1 | Domain, Range & Principal Values

Описание: Welcome to Part 2 of the Inverse Trigonometric Functions series for CUET 2026 Mathematics with Neetu Ma'am! 🎯
In this lecture, we continue our deep dive into Inverse Trigonometry. After covering sin inverse x in the previous class, we now explore the remaining inverse trigonometric functions: cos inverse, tan inverse, cot inverse, sec inverse, and cosec inverse.

📝 Topics Covered in this Video:
✅ Inverse of Cosine (cos^-1 x): Domain [-1, 1], Range [0, pi], and Graph.
✅ Inverse of Tangent (tan^-1 x): Domain R, Range (-pi/2, pi/2), and Graph.
✅ Inverse of Cotangent (cot^-1 x): Domain R, Range (0, pi), and Graph.
✅ Inverse of Secant & Cosecant: Understanding their restricted domains and ranges.
✅ Principal Value Branch: How to find principal values for all inverse trig functions.
✅ Properties of ITF:
T(T^-1(x)) = x (when x belongs to Domain)
T^-1(T(theta)) = theta (when theta belongs to Principal Branch)
✅ Important Questions: Solving equations involving Inverse Trigonometric Functions for x.

⏳ Timestamps:
0:00 - Recap & Introduction
01:50 - Inverse of Cosine (cos^-1 x): Domain, Range & Graph
07:30 - Principal Value Examples for cos inverse
18:25 - Inverse of Tangent (tan^-1 x): Domain, Range & Graph
22:25 - Principal Value Examples for tan inverse
25:00 - Inverse of Cotangent (cot^-1 x): Domain, Range & Graph
31:45 - Inverse of Secant & Cosecant
47:00 - Principal Value Questions on sec inverse and cosec inverse
50:50 - Properties of Inverse Trigonometric Functions
57:00 - Solving Complex Questions using Properties
1:10:00 - Solving Equations for x: Important Exam Questions

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