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Ex 5.1, 22 (ii) - Chapter 5 Class 12 Continuity and Differentiability
Last updated at May 29, 2023 by Teachoo
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Transcript
Ex 5.1, 22 (ii) Discuss the continuity of the cosine, cosecant, secant and cotangent functions.Let π(π)="cosec (x)" π(π₯) = 1/sinβ‘π₯ Let π(π)=1 & π(π)=sinβ‘π₯ Since, p(x) is a constant, β΄ π(π₯) is continuous. We know that sinβ‘π₯ is continuous for all real numbers β΄ π(π₯) is continuous. By Algebra of continuous function If π, π are continuous , then π/π is continuous. Thus, π(π₯) = 1/sinβ‘π₯ is continuous for all real numbers except points where sinβ‘π₯ = 0 i.e. π= ππ , πβπ So, πππππ π is continuous at all real numbers except where π= ππ , πβπ
