Angle Between Radius Vector and Tangent | Polar Curves 2a/r = 1 − cosθ | VTU

Описание: Polar Curves | Angle Between Radius Vector and Tangent

In this video, we find the angle between the radius vector and the tangent for the polar curve
2a / r = 1 − cos θ at θ = 2pi/3.

📌 Problem covered
Find the angle between the radius vector and the tangent to the curve
2a / r = 1 − cos θ at θ = 2pi/3.

📘 Concepts used
• Formula for angle between radius vector and tangent in polar form
• Rewriting the given equation in r = f(θ) form
• Differentiation of r with respect to θ
• Substitution of θ = 2pi/3 into the angle formula

🎯 Why this problem is important
• Standard VTU numerical problem from polar curves
• Tests application of angle formula at a given point
• High-scoring question in IA and SEE

🎓 Best suited for
• VTU Semester 1 students
• Exam-oriented problem practice
• Quick revision of polar curve applications

📚 Syllabus Mapping (VTU)

• 1BMATE101 (EC & EE)
Module 1 – Differential Calculus
Polar curves, angles, pedal equations, curvature.

• 1BMATC101 (CE)
Module 1 – Polar Curves & Curvature
Angles, pedal equations, radius of curvature.

• 1BMATM101 (ME)
Module 1 – Polar Curves & Curvature
Cartesian, polar, parametric, pedal forms.

• BMATS101 / BMATE101 / BMATC101 / BMATM101
Module 1 – Common Calculus Topics (2022 scheme)


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✔ Common Modules -1BMATE101 (EC & EE) / 1BMATC101 (CE)/1BMATM101 (ME)

• Module 1 – Differential Calculus / Polar Curves and Curvature
   • Module 1 Differential Calculus | Polar Cur...  

• Module 2 – Power Series expansion, Indeterminate Forms & Multivariable Calculus
   • Partial Differentiation | Multivariable Ca...  

✔ Linear Algebra (Branch-wise)

• 1BMATE101 (EC & EE) / 1BMATC101 (CE)– Module 5
   • Linear Algebra Made Simple – Complete  

• 1BMATM101 (ME) – Module 4
   • Linear Algebra Made Simple – Complete  

✔ Most important playlists done to score more marks
✔ High-weightage topics for IA and SEE


⭐ VTU Semester 1 – MUST WATCH Playlists (Score Booster)

🔹 1BMATE101 (TOP PRIORITY)
Model QP–I 2025
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M1 – Differential Calculus
   • Differential Calculus | VTU 1BMATE101 – Mo...  
M2 – Multivariable Calculus
   • Power Series, Indeterminate Forms & Multiv...  
M3 – ODE
   • Ordinary Differential Equations (ODE) | VT...  
M4 – Higher Order ODE
   • Higher-Order Ordinary Differential Equatio...  
M5 – Linear Algebra
   • Linear Algebra | VTU 1BMATE101 – Module 5 ...  

🔹 1BMATC101
M1    • Polar Curves and Curvature | VTU 1BMATC101...  
M2    • Series Expansion, Indeterminate Forms & Mu...  
M3    • Ordinary Differential Equations of First O...  
M4    • Ordinary Differential Equations of Higher ...  
M5    • Linear Algebra | VTU 1BMATC101 – Module 5 ...  

🔹 1BMATM101
M1    • Polar Curves and Curvature | VTU 1BMATM101...  
M2    • Series Expansion, Indeterminate Forms & Mu...  
M3    • Ordinary Differential Equations of First O...  
M4    • Linear Algebra | VTU 1BMATM101 – Module 4 ...  

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