preparation for reciprocal identities

(iii) tangent A tangent A In short, tan A Similarly three more ratios can be obtained by taking the reciprocals of sine, cosine and tangent ratios. (iv) cosecant In shor..

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 satisfies the equation..

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..

Identify the reciprocal of 25 as a percentage. => 3% or 4% or 6% or 5%..

Which of the following is the reciprocal of 4? => - 1 4 or 1 4 or 4 or - 4..

Oxidation and reduction always take place simultaneously. In the examples given above, we find that if one substance is oxidized, the other is reduced at the same time. For example,..