Topics
Matrices and Determinants
- Determinant of a Matrix
- Properties of Matrix Multiplication
- Input–Output Analysis
Algebra
- Partial Fractions
- Permutations
- Combination
- Mathematical Induction
- Binomial Theorem
Analytical Geometry
- Locus
- Equations of Line in Different Forms
- Pair of Straight Lines
- Advanced Concept of Circle
- Fundamentals of Conic Sections
Trigonometry
- Trigonometric Ratios
- Trigonometric Functions of Compound Angles
- Transformation Formulae
Differential Calculus
- Functions and Their Graphs
- Limits and Derivatives
- Differentiation Techniques
Applications of Differentiation
- Applications of Differentiation in Business and Economics
- Maxima and Minima
- Applications of Maxima and Minima
- Partial Derivatives
- Applications of Partial Derivatives
Financial Mathematics
- Annuities
- Brokerage and Taxes on Share Trading
Descriptive Statistics and Probability
Correlation and Regression Analysi
- Correlation
- Rank Correlation
- Regression Analysis
Operations Research
- Linear Programming Problem (L.P.P.)
- Network Analysis
Estimated time: 2 minutes
Maharashtra State Board: Class 12
Formula: Trigonometric Functions of Compound Angles
| Sr. No. | Expression | Formulae |
|---|---|---|
| i. | sin (A + B) | sin A cos B + cos A sin B |
| ii. | sin (A − B) | sin A cos B − cos A sin B |
| iii. | cos (A + B) | cos A cos B − sin A sin B |
| iv. | cos (A − B) | cos A cos B + sin A sin B |
| v. | tan (A + B) | \[\frac{\tan A+\tan B}{1-\tan A\tan B}\] |
| vi. | tan (A − B) | \[\frac{\tan A-\tan B}{1+\tan A\tan B}\] |
| vii. | cot (A + B) | \[\frac{\cot A\cot B-1}{\cot A+\cot B}\] |
| viii. | cot (A − B) | \[\frac{\cot A\cot B+1}{\cot B-\cot A}\] |
| ix. | sin(A + B) sin(A − B) |
= sin²A − sin²B |
| x. | cos(A + B) cos(A − B) | = cos²A − sin²B = cos²B − sin²A |
