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Cosecant GraphCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Cosecant Graph : We know that (cosec)csc x = 1 / sin x.It is a reciprocal of sine. When the sine function is zero then the cosec is undefined. When the sine function is maximum at 1, cosec is minimum at 1 and when sine function is minimum at 1, the cosec is maximum at 1. The sine function has period 2π so the cosec function has also period 2π.As cosec is a reciprocal of sine function so for some values this function is discontinuous. There are vertical asymptotes in cosec graph.The asymptote repeats after every π units. We know that csc x ≤ 1 or csc ≥ 1. First, we graph y = sin x and then y = csc x immediately below it. Compare the yvalues in each of the 2 graphs and assure yourself they are the reciprocal of each other.The xintercept of y=sin x and the asymptotes of y = csc x are same. The cosec graph is a ∪ shaped graph. There is no amplitude for this graph. Phase shift : y= csc(bx + c) b and c are responsible for phase shift. Phase shift means the graph will shift towards left or right side from its normal position.The displacement of the graph is based on bx + c. Make this equal to zero and solve for x. bx + c = 0 bx = c x = c/b So the Phase shift = c/b Example : If y = csc(x +2) then first graph y = sin (x +2). For y = sin (x +2) Phase shift is c/b where c = 2 and b = 1(coefficient of x). ∴ Phase shift = 2 so the sine graph will shift 2 units to left side. So the csc graph will also shift towards left by 2. cosecant graph Graph dictionary Home Page Covid19 has affected physical interactions between people. Don't let it affect your learning.
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