Question

find the maximum value of 1/cosecant

Answer 1

Wherever the sine is zero, the cosecantwill be undefined, so there will be a vertical asymptote. Wherever the sine reaches its maximum value of 1, thecosecant will reach its minimum value of 1; wherever the sine reaches its minimum value of –1, the cosecantwill reach its maximum value of –1.

Answer 2

maximum value of 1/cosecant=maximum value of sine

maximum value of 1/cosecant=1