11th math Chapter 10 exercise 10.3 || Sir Ikram Raheem

Описание: 11th Class Mathematics | Chapter 10 | Exercise 10.3 | Question 1 | Find Sin 2α, Cos 2α, Tan 2α | Easy Method | Learn for Pakistan

In this lecture, Sir Ikram Raheem explains 11th Class Mathematics Chapter 10 (Trigonometric Functions & Identities) from the new book, especially Exercise 10.3 Question Number 1, in a very easy and exam-focused method for all Punjab Boards including Lahore, Gujranwala, Sahiwal, Multan, Bahawalpur, Rawalpindi, Sialkot and all others.

⭐ This is a very important short question for board exams.
In this question, values of sin α and cos α are given, and students have to find:
✔ sin 2α
✔ cos 2α
✔ tan 2α

In this lecture you will learn:
• Double angle formulas of trigonometry
• How to use given values step by step
• How to avoid calculation mistakes
• How to write steps in board paper to get full marks
• Easy shortcut method for weak and average students

📘 Important formulas used:
Sin 2α = 2 sin α cos α
Cos 2α = cos²α − sin²α
Tan 2α = 2 tan α / (1 − tan²α)

Sir Ikram Raheem explains each step in very simple language, so even backbenchers, average students, and toppers can understand easily.

This lecture is best for:
✔ Board exam preparation
✔ Concept clarity
✔ Short question practice
✔ Students who feel trigonometry is difficult

🎯 My Mission

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My mission is:
• Don’t just memorize books — Understand concepts
• Learn practical and logical thinking
• Make education skill-based
• Help every student pass exams with confidence
• Work for real freedom through education and skills
• Uplift Pakistan through educated and skilled youth 🇵🇰

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Sir Ikram Raheem
Learn for Pakistan ❤️
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