Domain of cosecant function

    • What does the name cosecant mean?

      Here are all the possible meanings and translations of the word cosecant. ratio of the hypotenuse to the opposite side of a right-angled triangle In a right triangle, the reciprocal of the sine of an angle. Symbols: cosec, csc the secant of the complement of an arc or angle. See Illust. of Functions

    • What does cosecant mean?

      cosecant - ratio of the hypotenuse to the opposite side of a right-angled triangle. cosec. circular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle. Translations.

    • How to find cosecant?

      How to calculate cosecant? Determine the angle you wish to evaluate Calculate or measure the angle to take the cosecant. Take the sin of the angle Take the sine value of that angle. Calculate the cosecant Divide 1 by the sine value calculated in step 2 to determine the cosecant.

    • What is the domain of the cotangent function?

      The range of the function is y ≤ − 1 or y ≥ 1 . The graph of the cotangent function looks like this: The domain of the function y = cot ( x ) = cos ( x ) sin ( x ) is all real numbers except the values where sin ( x ) is equal to 0 , that is, the values π n for all integers n .

    • [PDF File]Section 5.4 - Inverse Trigonometric Functions

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      1 Section 5.4 - Inverse Trigonometric Functions The Inverse Sine Function Consider the graph of the sine function f x x( ) sin( ). The function is a periodic function.

      cosecant function graph

    • [PDF File]Domain & Range of Trigonometric Functions & Inverses There ...

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      Therefore, even to define an inverse which is a function, we have to restrict the domain of the original sine function so that it is 1-to-1 over that domain. The section of the sine graph chosen is the interval , 22 − . Therefore, in order to find the domain of a general sin function sin( x+ ), any

      cosecant reciprocal function

    • [PDF File]Section 7.3 The Graphs of the Tangent, Cosecant, Secant ...

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      Section 7.3 The Graphs of the Tangent, Cosecant, Secant, and Cotangent Functions. OBJECTIVE 1: Understanding the Graph of the Tangent Function and its Properties Recall that € y=tanx can equivalently be written € y = sin x cosx. Recall also that division by zero is never allowed. Therefore, the domain of € f(x)=tanx is not the set of all ...

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    • [PDF File]The Sine and Cosine Functions

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      The Cosecant Function The cosecant function is cscx= 1 sinx. It will have vertical asymptotes where the sine function has zeros. It will have no zeros. Domain: x2R except x= kˇ, k= :::; 3;2;1;0;1;2;3;::: Range: y2(1 ; 1][[1;1) Continuity: continuous on its domain Increasing-decreasing behaviour: increases and decreases on each interval in its ...

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    • [PDF File]T3.7 Domain and Range of the Trigonometric Functions

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      T3.7 Domain and Range of the Trigonometric Functions A. Sine and Cosine x y 1. Domain: Since w ( )is defined for any with cos =x and sin =y, there are no domain

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    • [PDF File]Cosecant, Secant, and Cotangent

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      An odd function is a function f(x) with the property that f( x) = f(x). Examples include x3, x5, x7, sine, and tangent. Cosecant and cotangent are odd functions, meaning that csc( ) = csc( ) and cot( ) = cot( ). We can check that these identities are true by using that sine is an odd function and that cosine is even: csc( ) = 1 sin( ) = 1 sin( )

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    • [PDF File]Tangent, Cotangent, Secant, and Cosecant

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      Tangent, Cotangent, Secant, and Cosecant The Quotient Rule In our last lecture, among other things, we discussed the function 1 x, its domain and its derivative. We also showed how to use the Chain Rule to find the domain and derivative of a function of the form k(x) = 1 g(x); where g(x) is some function with a derivative. Today we go one step ...

      domain and range of cosecant

    • [DOC File]ALGEBRA 2 WKST

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      A function if said to be periodic if . for all θ in the domain of f. The smallest number p for which f is periodic is called the . period. of f. Period of trig functions: Even and Odd trig functions: cosine and secant are even. sine, cosecant, tangent and cotangent are odd functions. Coterminal Angles

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    • [DOC File]Pre-Calculus Unit 4- 1st 9-weeks

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      The secant function is an even function ( . Graph of the Cosecant Function. Domain: Range: Notes on the graph of the cosecant function: The period is 2(. The graph is discontinuous at integer multiples of (. There are no x-intercepts. The graph has no amplitude, since it goes to ((. The graph has “local” extrema of (1 at odd multiples of (

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    • [DOC File]Trigonometry FINAL EXAM Review, Spring 2010

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      The secant function is an even function ( . Graph of the Cosecant Function. Domain: Range: Notes on the graph of the cosecant function: The period is 2(. The graph is discontinuous at integer multiples of (. There are no x-intercepts. The graph has no amplitude, since it goes to ((. The graph has “local” extrema of (1 at odd multiples of (

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    • [DOC File]6.2 TRIG FUNCTIONS -- UNIT CIRCLE

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      Sine Function : f(x) = sin (x). Domain: Range: Period = x intercepts: x = _____ , where k is an integer. y . intercepts: M. axima: (_____,_____) where k is an integer ...

      range of cosecant

    • Properties of The Six Trigonometric Functions

      Graphing Cosecant, Secant, Tangent & Cotangent Functions. Pre-Calculus - Section 5.5. Given the graph of the sine or cosine function, graph the cosecant or secant function. 1. Given y = sin (2x), graph y = csc (2x) 2. Given y = 3 cos (2x), graph y = 3 sec (2x) Graph at lease two cycles of the functions. Label the scale of each axis. 3. y = sec ...

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    • [DOC File]Doing Mathematics

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      HW: Graph Secant and Cosecant Function. Sketch the graph of the function. Determine the period, phase shift, vertical shift. Find 2 Asymptotes, Domain and Range.

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    • [DOC File]Math II Unit 6

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      The cosecant function has a vertical asymptote at each x-value where the corresponding sine function has a point of inflection (a “zero”). The values of a, b, c, and d cause the parent function to be shifted, reflected or stretched / compressed, just like with the sine and cosine functions.

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    • [DOC File]Pre-Calculus

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      The a tells us the vertex of the “mini-parabolas” that happen at the maximum and minimum values of the sine function. If you can graph the sine or cosine function of the corresponding secant or cosecant function, you can graph the secant or cosecant function. Let’s use the next example to show what I mean. We want to sketch the graph y=sec2x.

      domain and range of cosecant

    • [DOC File]Graphing Cosecant, Secant, Tangent & Cotangent Functions

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      The cosecant and secant functions are reciprocals of the sine and cosine functions. The cosecant, csc, is the reciprocal of the sine function. The secant, sec, function is the reciprocal of the cosine function. csc = sec θ = These graphs will be explored using a graphing calculator. Graph the sine and cosecant function.

      cosecant function graph

    • [DOC File]Trigonometry Test #02 Review, Spring 2010

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      absolute value function. base a logarithm function. boundary of an interval. boundary points . change of base formula. closed interval. common logarithm function. composing. composite function. compounded continuously. cosecant function. cosine function . cotangent function . dependent variable. domain. even function. exponential decay ...

      what is cosecant

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