What Is The Range Of Csc Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x where x is the angle In a right angled triangle cosecant is equal to the ratio of the hypotenuse and perpendicular
The range of the function y csc x is defined by the values y 1 or y 1 due to the reciprocal relationship with the sine function This means it cannot take any values in the Range of y csc x is y 1 Explanation y csc x is the reciprocal of y sin x so its domain and range are related to sine s domain and range
What Is The Range Of Csc
What Is The Range Of Csc
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Range of csc x As explained above csc x is positive in the first quadrant only first quadrant to be considered and negative in the fourth quadrant of the common interval 2 These The range of the function y csc x is all values less than or equal to 1 and all values greater than or equal to 1 Specifically the range can be expressed as y 1 and y 1 This occurs because the cosecant function is
Range of Cosecant Function The range of a function is the complete set of all possible resulting values of the dependent variable begin align y end align usually after we have Ranges of cosecant and secant The ratios of the cosecant and secant functions on the coordinate plane r y and r x have the hypotenuse r in the numerator Because r is always
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Y csc x is the reciprocal of y sin x so its domain and range are related to sine s domain and range Since the range of y sin x is 1 y 1 we get that the range of y csc x is y The range of cscx is infty 1 cup 1 infty Let us look at some details We know sinx le 1 by taking the reciprocal Rightarrow cscx 1 sinx ge 1 Note that we need to switch
The range is the set of all valid y y values Use the graph to find the range Interval Notation 1 1 1 1 Set Builder Notation y y 1 y 1 y y 1 y 1 What is the domain and range of y csc x y cscx y 1 sinx sinx is defined x R cscx is defined wherever sinx 0 x n n Z Hence the domain of y is all x R x
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Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x where x is the angle In a right angled triangle cosecant is equal to the ratio of the hypotenuse and perpendicular

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The range of the function y csc x is defined by the values y 1 or y 1 due to the reciprocal relationship with the sine function This means it cannot take any values in the

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What Is The Range Of Csc - Range of csc x As explained above csc x is positive in the first quadrant only first quadrant to be considered and negative in the fourth quadrant of the common interval 2 These