M 13(A) : Q.1 - Q.4 | M1 - Trigonometry | PART III | Simplify | RGPV Diploma Question Bank

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मैं Anoop Rathore, आपका Computer Science Engineering Lecturer, आज लेकर आया हूँ एक शानदार और Concept-Clearing वीडियो —
📘 “Trigonometry Important Questions with Solutions”

यह वीडियो खास तौर पर उन छात्रों के लिए है जो Diploma, Polytechnic या School Level पर Mathematics-I (Trigonometry Unit) पढ़ रहे हैं।
इस वीडियो में हमने Trigonometry के कुछ Most Expected & Repeated Questions को Step-by-Step हल किया है ✨

🔹 Covered Questions & Topics:

1️⃣ If tanθ = 4/5, find the value of (2sinθ + 3cosθ) / (4cosθ + 3sinθ)
2️⃣ If cosθ = 9/41, find tanθ
3️⃣ If sinθ = 3/5, find sin2θ and cos2θ
4️⃣ Find the exact values of —
  ✅ sin15°, sin75°, sin105°
  ✅ cos15°, cos75°, cos105°
  ✅ tan15°, tan75°, tan105°

💡 Concepts Explained:

Relationship between sinθ, cosθ & tanθ

Pythagoras identity → sin²θ + cos²θ = 1

Double Angle Formulae → sin2θ, cos2θ

Angle Sum & Difference → sin(A ± B), cos(A ± B)

How to derive sin15°, cos15°, tan15° using sin(45°−30°)

Tricks to memorize Special Angles easily 🎯

📚 Formulas Used in this Video:
Formula Explanation
sin²θ + cos²θ = 1 Basic Pythagorean identity
tanθ = sinθ / cosθ Relation between ratios
sin2θ = 2sinθcosθ Double angle formula
cos2θ = cos²θ − sin²θ Difference form of cosine
sin(A ± B) = sinAcosB ± cosAsinB Sum/Difference of sin
cos(A ± B) = cosAcosB ∓ sinAsinB Sum/Difference of cos
🌟 Why Watch This Video?

✅ Complete Concept Clarity (in Hindi)
✅ Step-by-Step Easy Solutions
✅ Perfect for Diploma, Polytechnic & 12th Students
✅ Covers Exam-Oriented & Viva-Oriented Questions
✅ Explained with Simple Logic & Visualization

📖 For Whom This Video is Useful:

🎓 Diploma (Polytechnic) Students

🧮 Class 10th, 11th, 12th Students

💻 BCA, B.Sc., and Engineering Students

📘 Any learner wanting strong basics in Trigonometry



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📚 Extra Tips:

📌 याद रखें —
👉 sin(90°−θ) = cosθ
👉 cos(90°−θ) = sinθ
👉 tan(90°−θ) = cotθ

इन छोटे-छोटे ट्रिक्स से आपका ट्रिग्नोमेट्री सेक्शन मज़बूत होगा 💪

🎥 About This Channel — Anoop Rathore

मैं हूँ Anoop Rathore, Lecturer (Computer Science Engineering)
🎯 Mission: Teaching • Learning • Spreading Knowledge
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Diploma CSE Complete Notes 📒

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