CBSE Class 12 Mathematics
Complete Formula Sheet
Chapter■wise Revision Notes
Clean & Quick Revision Guide
, Relations and Functions
• Number of relations from A to B = 2^(n(A) × n(B))
• Number of functions from A to B = (n(B))^(n(A))
• One■one function: f(a■) = f(a■) ⇒ a■ = a■
• Onto function: Range = Co■domain
• Composite function: (f ■ g)(x) = f(g(x))
Inverse Trigonometric Functions
• sin■¹x + cos■¹x = π/2
• tan■¹x + cot■¹x = π/2
• sec■¹x + cosec■¹x = π/2
• sin■¹x + sin■¹y = sin■¹(x√(1−y²) + y√(1−x²))
Matrices
• Order of matrix = m × n
• Matrix multiplication: (AB) ≠ (BA) generally
• Transpose: (AB)' = B'A'
• Identity matrix: AI = IA = A
Complete Formula Sheet
Chapter■wise Revision Notes
Clean & Quick Revision Guide
, Relations and Functions
• Number of relations from A to B = 2^(n(A) × n(B))
• Number of functions from A to B = (n(B))^(n(A))
• One■one function: f(a■) = f(a■) ⇒ a■ = a■
• Onto function: Range = Co■domain
• Composite function: (f ■ g)(x) = f(g(x))
Inverse Trigonometric Functions
• sin■¹x + cos■¹x = π/2
• tan■¹x + cot■¹x = π/2
• sec■¹x + cosec■¹x = π/2
• sin■¹x + sin■¹y = sin■¹(x√(1−y²) + y√(1−x²))
Matrices
• Order of matrix = m × n
• Matrix multiplication: (AB) ≠ (BA) generally
• Transpose: (AB)' = B'A'
• Identity matrix: AI = IA = A
