lecture -02 : Short Tricks | sin⁻¹, cos⁻¹, tan⁻¹ Identities

Описание: 📘 Inverse Trigonometry Identities & Problems | Ketab Uddin Math | Class Tutorial

In this video, we solve important Inverse Trigonometric Function problems from Ketab Uddin Mathematics (Page 287, Example-07). The lecture explains step-by-step derivations, identities, and shortcut techniques to simplify complicated expressions involving sin⁻¹, cos⁻¹, and tan⁻¹.

You will learn how to:

Derive the identity
sin⁻¹x + sin⁻¹y = sin⁻¹(x√(1−y²) + y√(1−x²))

Use the formula
tan⁻¹x + tan⁻¹y = tan⁻¹((x + y)/(1 − xy))

Apply the identity
2tan⁻¹x = cos⁻¹((1 − x²)/(1 + x²))

Solve expressions like
cos⁻¹(1/√5) − ½sin⁻¹(3/5) + tan⁻¹(1/3)

The video also uses geometric triangle methods and trigonometric transformations to make inverse trigonometry easier to understand.

🎯 Perfect for:

HSC / College students

Competitive exam preparation

Anyone learning Inverse Trigonometry identities and problem solving

📚 Topics Covered:

Inverse Trigonometric Identities

Arcsin, Arccos, Arctan relationships

Algebraic simplification techniques

Trigonometric triangle method

Step-by-step exam problem solving

👍 If this video helps you, Like 👍, Share 🔁 and Subscribe 🔔 for more mathematics tutorials.

#InverseTrigonometry #Trigonometry #KetabUddinMath #Arcsin #Arctan #MathTutorial #HSCMath #TrigonometricIdentities