Extensive coverage of tangent properties, chord theorems, and cyclic quadrilaterals. 2. Mensuration (2D and 3D)
: Includes the latest updated content based on the 2025 SSC CGL, CHSL, and Selection Post exams.
Explanation: $m = \tan\theta + \sin\theta$, $n = \tan\theta - \sin\theta$. $m^2 - n^2 = (m-n)(m+n)$. $m+n = 2\tan\theta$. $m-n = 2\sin\theta$. Product $= 4 \tan\theta \sin\theta$. Also $m \times n = \tan^2\theta - \sin^2\theta = \sin^2\theta (\sec^2\theta - 1) = \sin^2\theta \tan^2\theta$. So $\tan\theta \sin\theta = \sqrtmn$. Answer $= 4\sqrtmn$. Wait, question asks $m^2 - n^2$. $m^2 - n^2 = 4 \frac\sin^2\theta\cos\theta$. $mn = \frac\sin^2\theta\cos^2\theta - \sin^2\theta = \sin^2\theta (\frac1\cos^2\theta - 1) = \sin^2\theta \tan^2\theta$. $\sqrtmn = \sin\theta \tan\theta$. So $m^2 - n^2 = 4\sqrtmn$.
: The book features Gagan Sir's handwritten solutions, demonstrating the exact short-cut methods and logic used in his live classes. gagan pratap advance maths complete class notes exclusive
: Includes detailed explanations for Advance Mathematics topics like Algebra, Geometry, Trigonometry, and Mensuration.
“Best explanation, best solution, everything is best in this book. Geometry part of this book is very good, it covers all theorem and every type of questions.” Amazon.in
: All theory and solutions are provided in both Hindi and English , making it accessible to a wider range of students. Explanation: $m = \tan\theta + \sin\theta$, $n =
Direct formula-based questions to build confidence.
This comprehensive guide analyzes why these class notes are a must-have, what topics they cover, how they can transform your preparation, and the best strategies to study them for a top score. Why Gagan Pratap’s Advance Maths Notes are Highly Rated
Explanation: Square both: $\cos^2 + \sin^2 + 2\cos\sin = 2\cos^2$. $1 + 2\sin\cos = 2\cos^2 \implies 1 = 2\cos^2 - 2\sin\cos$. Also, given $\cos + \sin = \sqrt2\cos \implies \sin = (\sqrt2-1)\cos$. $\frac\sin\cos = \tan \theta = \sqrt2-1$. Question asks for $\frac\cos\sin = \cot \theta = \frac1\sqrt2-1 = \sqrt2+1$. $m-n = 2\sin\theta$
The notes provide detailed coverage of the entire Advanced Mathematics syllabus, including: : Expressions, identities, and equations. : Concepts, theorems, and properties of various shapes. Trigonometry : Functions, height, and distance. Mensuration (2D & 3D) : Calculations related to area, volume, and surface area. Number System : Properties and operations with numbers. Purchasing Options
Mensuration focuses heavily on formulas and calculation accuracy. The notes organize this topic through clear diagrams and structured tables:
A frequently tested topic that requires visualizing equations on a graph. The notes cover: Distance formula, section formula, and area of triangles.