![Ex 5.1, 22 (ii) - Chapter 5 Class 12 Continuity and Differentiability - Part 2](https://d1avenlh0i1xmr.cloudfront.net/dc2a80d4-adba-48aa-b14b-9f7743316df4/slide5.jpg)
Ex 5.1
Last updated at April 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