Select all of the expressions that are undefined. csc(0) sec(0) csc(pi/2) sec(pi/2) csc(pi) sec(pi)

Question

asked May 14, 2021 157k views

2 Answers

Ayush Somani · Answer 1 · 2021-05-18T06:21:47+0000

Answer:

The answer is "undefined, 1, undefined, undefined, and -1".

Explanation:

Finding expression:

$i) \csc(0) = \ cosec 0^(\circ) \\\\= (1)/(sin 0^(\circ))\\\\= (1)/(0) \ \\\\$ undefined

$ii) \csc ((\pi)/(2))\\\\= cosec (\pi)/(2)\\\\= cosec \ 90^(\circ)\\\\= (1)/(\sin \ 90^(\circ))\\\\= (1)/(1) \\\\=1\\$

$iii) \sec (\pi)/(2) \\\\= sec \ 90^(\circ)\\\\= (1)/(\cos 90^(\circ))\\\\= (1)/(0) \\$ undefined

$iv) \csc(pi)\\\\= \ cosec (180^(\circ))\\\\= (1)/(\sin 180^(\circ))\\\\= (1)/(0)\\$ undefined

$v) sec (\pi) \\\\=(1)/(\cos 180^(\circ))\\\\= (1)/(-1)\\\\= -1$