Thus, when we reciprocate these, we either get improper fractions, -1, or 1 respectively. Since the range of cos x is, the output values of cos x are either proper fractions, -1, or 1, (and of course 0 as well). We know that cos x is 0 at odd integral multiples of π, hence the domain and range of secant are given by: Therefore the domain of sec x does not contain values where cos x is equal to zero. It can also be written as the reciprocal of the cosine function. We know that the secant function is the ratio of the hypotenuse and the adjacent side in a right-angled triangle. We know that sin x = 0 at integral multiples of π, hence the domain and range of trigonometric function cotangent are given by: Therefore the domain of cot x does not contain values where sin x is equal to zero. It can also be written as the ratio of cosine and sine functions, and cot x is the reciprocal of tan x. We know that the cotangent function is the ratio of the adjacent side and the opposite side in a right-angled triangle. We know that cos x = 0 at odd integral multiples of π/2, hence the domain and range of trigonometric function tangent are given by: It can also be written as the ratio of sine and cosine functions, therefore the domain of tan x does not contain values where cos x is equal to zero. We know that the tangent function is the ratio of the opposite and adjacent sides of a right-angled triangle. ☛Note: The domain and range of sin and cos graphs are the same. The domain and range of cosine are given by: We know that the cosine function is the ratio of the adjacent side and hypotenuse of a right-angled triangle.
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