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Gaurav Seth 5 years, 5 months ago
Functions
A relation f from a set A to set B is said to be function, if every element of set A has one and only image in set B.
In other words, a function f is a relation such that no two pairs in the relation have the first element.
Function A function f from a set A to a set B is a specific type of relation for which every element x of set A has one and only one image y in set B. We write f: A→B, where f(x) = y.
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Gaurav Seth 5 years, 5 months ago
Given Equation is 2sin²x + 3cosx = 0
⇒ 2(1 - cos²x) + 3cosx = 0
⇒ 2 - 2cos²x + 3cosx = 0
⇒ 2cos²x - 3cosx - 2 = 0
⇒ 2cos²x - 4cosx + cosx - 2 = 0
⇒ 2cosx(cosx - 2) + (cosx - 2) = 0
⇒ (2cosx + 1)(cosx - 2) = 0
⇒ cosx - 1/2, cosx = 2[Not possible]
⇒ cosx = -1/2
⇒ x = 120°,240°
⇒ x = (2π/3) + 2πn, x = (4π/3) + 2πn
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Yogita Ingle 5 years, 5 months ago
For e.g. the range of the function F is {1983,1987,1992,1996}. On the other hand, the whole set B is known as the codomain of the function. It is the set which contains all the outputs of the function. So, the set of real numbers is a codomain for every real-valued function. The codomain of the function F is set B.
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Anushka ?? 5 years, 5 months ago
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