![Is cosecant function continuous? [with Video] - Teachoo - Ex 5.1](https://d1avenlh0i1xmr.cloudfront.net/2c40a26c-85da-473f-95ba-eea7b2b3cf10/slide4.jpg)
Introducing your new favourite teacher - Teachoo Black, at only βΉ83 per month
Ex 5.1, 22 (ii) - Chapter 5 Class 12 Continuity and Differentiability (Term 1)
Last updated at May 13, 2021 by Teachoo
Ex 5.1
Ex 5.1 ,1
Ex 5.1 ,2
Ex 5.1, 3 (a)
Ex 5.1, 3 (b)
Ex 5.1, 3 (c) Important
Ex 5.1, 3 (d) Important
Ex 5.1 ,4
Ex 5.1 ,5 Important
Ex 5.1 ,6
Ex 5.1 ,7 Important
Ex 5.1 ,8
Ex 5.1, 9 Important
Ex 5.1, 10
Ex 5.1, 11
Ex 5.1, 12 Important
Ex 5.1, 13
Ex 5.1, 14
Ex 5.1, 15 Important
Ex 5.1, 16
Ex 5.1, 17 Important
Ex 5.1, 18 Important
Ex 5.1, 19 Important
Ex 5.1, 20
Ex 5.1, 21
Ex 5.1, 22 (i) Important
Ex 5.1, 22 (ii) You are here
Ex 5.1, 22 (iii)
Ex 5.1, 22 (iv) Important
Ex 5.1, 23
Ex 5.1, 24 Important
Ex 5.1, 25
Ex 5.1, 26 Important
Ex 5.1, 27
Ex 5.1, 28 Important
Ex 5.1, 29
Ex 5.1, 30 Important
Ex 5.1, 31
Ex 5.1, 32
Ex 5.1, 33
Ex 5.1, 34 Important
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
