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Are there any specific formulas or theorems that I should focus on for the mathematics section of the JEE Main exam?
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Are there any specific formulas or theorems that I should focus on for...
Important Formulas and Theorems for JEE Main Mathematics Section


1. Trigonometry


  • Trigonometric Ratios: Sinθ = Opposite/Hypotenuse, Cosθ = Adjacent/Hypotenuse, Tanθ = Opposite/Adjacent

  • Pythagorean Identities: sin^2θ + cos^2θ = 1, 1 + cot^2θ = cosec^2θ, 1 + tan^2θ = sec^2θ

  • Sum and Difference Formulas: sin(A ± B) = sinAcosB ± cosAsinB, cos(A ± B) = cosAcosB ∓ sinAsinB

  • Double Angle Formulas: sin2θ = 2sinθcosθ, cos2θ = cos^2θ - sin^2θ

  • Half Angle Formulas: sin(θ/2) = ±√((1 - cosθ)/2), cos(θ/2) = ±√((1 + cosθ)/2)



2. Algebra


  • Quadratic Formula: For a quadratic equation ax^2 + bx + c = 0, the solutions are given by x = (-b ± √(b^2 - 4ac))/(2a)

  • Arithmetic Progression (AP): nth term of an AP is given by an = a + (n-1)d, where a is the first term and d is the common difference

  • Geometric Progression (GP): nth term of a GP is given by an = ar^(n-1), where a is the first term and r is the common ratio

  • Quadratic Equations: The discriminant (D) is given by D = b^2 - 4ac. If D > 0, the quadratic equation has two distinct real roots; if D = 0, it has two equal real roots; and if D < 0,="" it="" has="" two="" complex="" />



3. Calculus


  • Limits: Limit of a function f(x) as x approaches a is denoted by lim(x→a) f(x). It is used to find the behavior of a function as x approaches a particular value.

  • Differentiation: The derivative of a function f(x) with respect to x is denoted by f'(x) or dy/dx. It represents the rate of change of the function at any given point.

  • Integration: Integration is the reverse process of differentiation. It is denoted by ∫f(x) dx and represents the area under the curve of the function f(x) with respect to x.



4. Coordinate Geometry
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Are there any specific formulas or theorems that I should focus on for the mathematics section of the JEE Main exam?
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