Ex 5.1, 22 (ii) - Chapter 5 Class 12 Continuity and Differentiability
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
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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