Periodicity of cosecant
WebJan 4, 2024 · If the secant or cosecant function is in standard form, the period of the function is given by: Examples 1) Find the period of f (x) = 3sec (2x-5)+3 2) Find the period of g (x) = -2csc...
Periodicity of cosecant
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WebCosecant Function: The cosecant function is one of the 6 trigonometric functions and is the inverse of the sine function. The standard form of a cosecant function is {eq}y = a \csc(b(x-h))+k {/eq}. WebThe period of a function is the smallest amount it can be shifted while remaining the same function. In more formal terms, it is the smallest p p such that f (n+p)=f (n) f (n+p) = f (n) …
WebThe period of a function f f is defined to be the smallest positive value p p such that f (x + p) = f (x) f (x + p) = f (x) for all values x x in the domain of f. f. The sine, cosine, secant, and cosecant functions have a period of 2 π. 2 π. Since the tangent and cotangent functions repeat on an interval of length π, π, their period is π ... WebThe period of a function f f is defined to be the smallest positive value p p such that f (x + p) = f (x) f (x + p) = f (x) for all values x x in the domain of f. f. The sine, cosine, secant, and …
WebCosecant function or csc function of an angle is a trigonometric function that gives the ratio of the hypotenuse (side opposite to the right angle) to the side opposite to a given angle (perpendicular) in a right-angled triangle. The cosecant function is also the reciprocal the of sin function (csc\theta =\frac {1} {sin\theta }) (cscθ = sinθ1 ... WebThe cosecant function is the reciprocal of the trigonometric function sine. Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is …
WebThe cosecant function csc(θ) is defined as csc(θ) = r y , where r is the distance from O to M and is given by r = √x2 + y2 . An examination of the definiton of the cosecant gives a relationship between csc(θ) and sin(θ) as follows csc(θ) = r y = 1 sin(θ) Note that 1) csc(θ + 2π) = 1 sin(θ + 2π) = 1 sin(θ) = csc(θ)
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