identical equations or identities

The two expressions (LHS and RHS) are always equal for any value we give to the variable. Equations that are true for any value of the variable are called identical equations or briefly an identity..

Now study the equations given below: a) x + 3 + x + 4 = 2x + 7 2x + 7 = 2x + 7 (By simplification) [ \ any value given to 'x' always satisfies the equation] Similarly, b) (3a + 4) + 2 (a - 1) = 5a + 2 i.e., 5a + 2 = 5a + 2 (By simplification) [ \ any value given to 'a' always sa..

A function f : R R is said to be an identity function if for all x R, f(x) = x. Domain = R Range = ..

1. sin A = cos (90 o - A) 2. 3. tan A x tan (90 o - A) = 1 4. sin 2 A + cos 2 A = 1 5. 1 + tan 2 A = sec 2 A 6. 1 + cot 2 A = cosec 2 A Let us prove the above identities. Let D ABC be a right-angled triangle with B = 90 o . Let BC = a, AC = b and AB = c. (1..

The trigonometric ratio's are: Sine, Cosine, Tangent, Cotangent, Secant, and Cosecan..

Recognise the appropriate identity. Rewrite the given expression in the form of the identity. Write the factors of the given expression using the identity..

Which of the following is a multiplicative identity? => 18 + 0 = 18 or 19 × 21 = 21 × 19 or 15 × 1 = 15 or 17 × 0 = 0..

A square matrix A=[a i j ] n x n is called an identity or unit matrix if (2) a i j =1 for all i = j In other words a square matrix each of whose diagonal elements is unity and each of whose non-diagonal elements is equal to zero is called an identity or unit matrix. The..

Conditional Trigonometric Identities - In the previous sections many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship exists among..