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Ex 5.1, 22 (ii) - Chapter 5 Class 12 Continuity and Differentiability (Term 1)
Last updated at May 13, 2021 by Teachoo
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
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.