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Before describing the limits of trigonometric functions, we state few theorems along with Sandwich theorem, which helps in calculating a variety of limits in subsequent chapter..
Algebraic identity
An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..
Simultaneous Equations
Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such ..
Polynomial equation
An equation in a single variable is called a polynomial equation of degree 'n' if it is an equation of the form In other words, an equation is a statement of equality between two algebraic expressions. It is satisfied by a limited number of value..
Equations of condition
The two expressions (LHS and RHS) are equal only for a particular value of the variable (x). These equations are called equations of condition. An equation of condition is generally referred to as an equation..
Equations of condition
Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The two expressions (LHS and RHS) are equal only ..
Equations of condition
Equations of condition - Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The two expres..
Equations of the form
In such equations, multiply by x throughout to obtain the form Ax 2 + Bx + C = 0. Now these equations can be solved for ..
Quadratic Equations
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..
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