What Is The Domain Of Cosecant

What Is The Domain Of Cosecant Domain of Cosecant Function The domain of a function is the set of all possible input values often the begin align x end align variable which produce a valid output from a

The domain of the sec x is all real numbers except for points where cosine is not defined that is 2n 1 2 where n is an integer The range of secant function is the set of all real numbers with a magnitude greater than or equal to 1 The cosecant function denoted as begin align cosec x end align is the reciprocal of the sine function It is defined as begin align cosec x frac 1 sin x end align

What Is The Domain Of Cosecant

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Domains of cosecant and secant The domains of cosecant and secant are restricted you can only use the functions for angle measures with output numbers that exist Any time the terminal side of an angle lies along the x The cosecant domain x n n n Z the set of real numbers excluding the points with x values equal to n n Z since at the points x n the sine function is equal to zero

A tutorial on exploring the cosecant function of the general form given by f x a csc b x c d is presented An interactive app is used where parameters a b c and d may be changed and their effects on the period phase shift The cosecant function will be defined as long as the sine value is not 0 Therefore the domain of the cosecant function excludes all angles with sine value 0 which are 0 180

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The cosecant function is the ratio of the hypotenuse and the opposite side of a right angled triangle In simpler terms it is the reciprocal of sine i e csc 1 sin Read More Domain and Range of Trigonometric Functions The domain of the cosecant function is all real numbers except for the values of x where sin x 0 In other words the domain is the set of all x such that x n where n is an integer Q3

So the domain of cosecant function is R n n Z Since 1 sin x 1 y cosec x does not take any value in between 1 and 1 Thus the range of cosecant function is 1 1 The cosecant function has a domain of all real numbers except for those where sinx 0 or x equals any odd multiple of 2 In other words cscx is undefined at x 2 3 2 5 2 etc

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Domain of Cosecant Function The domain of a function is the set of all possible input values often the begin align x end align variable which produce a valid output from a

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The domain of the sec x is all real numbers except for points where cosine is not defined that is 2n 1 2 where n is an integer The range of secant function is the set of all real numbers with a magnitude greater than or equal to 1


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What Is The Domain Of Cosecant - The domain of cosech is all real numbers except 0 The range of cosech is infinity 1 U 1 infinity The graph of cosech is a hyperbolic curve that approaches the x axis but never