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

Select all of the expressions that are undefined. csc(0) sec(0) csc(pi/2) sec(pi/2) csc-example-1

2 Answers

6 votes

Answer:

The answers are csc(0), sec(pie/2), and csc(pie)

Explanation:

User Petr Kozelek
by
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4 votes

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

User Ayush Somani
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