
\[\cot \dfrac{{A + B}}{2} \times \tan \dfrac{{A - B}}{2} = \]
A. \[\dfrac{{a + b}}{{a - b}}\]
B. \[\dfrac{{a - b}}{{a + b}}\]
C. \[\dfrac{a}{{a + b}}\]
D. None of these
Answer
162.9k+ views
Hint: Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Slope, usually referred to as rise over run, is the "steepness" of the line. A point on the y-axis known as an intercept is where the line's slope passes. It is a place on the y-axis where a straight line or a curve cross.
It is frequently useful to visualize the slope and intercept of the lines that intersect your equation while solving equations with variables. Plotting these two lines reveals that they cross at the coordinates \[\left( {0,0} \right)\] and\[\left( {1,1} \right)\], respectively. As a result, the problem can only have one solution, which is\[\left( {\dfrac{{a + b}}{{ab}}} \right)\].
A variable is a letter or symbol that stands in for any individual integer in a group of two or more. A constant is a letter or symbol that stands for a single particular number, whether it is known or unknown.
Complete step by step solution: The equation is \[\tan \dfrac{{A - B}}{2}\]
This can also be written as,
\[\dfrac{{a - b}}{{a + b}}\cot \dfrac{C}{2}\]
\[\dfrac{{a - b}}{{a + b}}\tan (\dfrac{{A + B}}{2})\]
Then, the equation becomes,
\[\tan \dfrac{{A - B}}{2}\cot \dfrac{{A + B}}{2} = \dfrac{{a - b}}{{a + b}}\]
So, Option ‘B’ is correct
Note: When solving inequalities, it is often helpful to put them into an expression in terms of pairs of coefficients.
Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Both mathematical phrases, equations and inequalities, are created by connecting two expressions.
Use inverse operations to first undo the addition or subtraction in a two-step inequality, and then undo the multiplication or division. Subtraction is the opposite operation to addition, and vice versa.
It is frequently useful to visualize the slope and intercept of the lines that intersect your equation while solving equations with variables. Plotting these two lines reveals that they cross at the coordinates \[\left( {0,0} \right)\] and\[\left( {1,1} \right)\], respectively. As a result, the problem can only have one solution, which is\[\left( {\dfrac{{a + b}}{{ab}}} \right)\].
A variable is a letter or symbol that stands in for any individual integer in a group of two or more. A constant is a letter or symbol that stands for a single particular number, whether it is known or unknown.
Complete step by step solution: The equation is \[\tan \dfrac{{A - B}}{2}\]
This can also be written as,
\[\dfrac{{a - b}}{{a + b}}\cot \dfrac{C}{2}\]
\[\dfrac{{a - b}}{{a + b}}\tan (\dfrac{{A + B}}{2})\]
Then, the equation becomes,
\[\tan \dfrac{{A - B}}{2}\cot \dfrac{{A + B}}{2} = \dfrac{{a - b}}{{a + b}}\]
So, Option ‘B’ is correct
Note: When solving inequalities, it is often helpful to put them into an expression in terms of pairs of coefficients.
Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Both mathematical phrases, equations and inequalities, are created by connecting two expressions.
Use inverse operations to first undo the addition or subtraction in a two-step inequality, and then undo the multiplication or division. Subtraction is the opposite operation to addition, and vice versa.
Recently Updated Pages
JEE Atomic Structure and Chemical Bonding important Concepts and Tips

JEE Amino Acids and Peptides Important Concepts and Tips for Exam Preparation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Chemical Properties of Hydrogen - Important Concepts for JEE Exam Preparation

JEE Energetics Important Concepts and Tips for Exam Preparation

JEE Isolation, Preparation and Properties of Non-metals Important Concepts and Tips for Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Displacement-Time Graph and Velocity-Time Graph for JEE

Degree of Dissociation and Its Formula With Solved Example for JEE

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

JoSAA JEE Main & Advanced 2025 Counselling: Registration Dates, Documents, Fees, Seat Allotment & Cut‑offs

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry

NCERT Solutions for Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 6 Permutations and Combinations

NCERT Solutions for Class 11 Maths In Hindi Chapter 1 Sets

NEET 2025 – Every New Update You Need to Know
