Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Finding expression:

$i) \csc(0) = \ cosec 0^{\circ} \\\\= \frac{1}{sin 0^{\circ}}\\\\= \frac{1}{0}$undefined

$ii) \csc (\frac{\pi}{2})\\\\= cosec \frac{\pi}{2}\\\\= cosec \ 90^{\circ}\\\\= \frac{1}{\sin \ 90^{\circ}}\\\\= \frac{1}{1} \\\\=1$

$iii) \sec \frac{\pi}{2} \\\\= sec \ 90^{\circ}\\\\= \frac{1}{\cos 90^{\circ}}\\\\= \frac{1}{0}$ undefined

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

$v) sec (\pi) \\\\=\frac{1}{\cos 180^{\circ}}\\\\= \frac{1}{-1}\\\\= -1$