what are the similarities and differences between y=sin(x) and y=csc(x)

Answer 1

sinx = 1/cscx

cscx = 1/sinx

-1< sinx < +1

cscx > +1 or cscx < -1 cscx is never between -1 and 1.

sinx = the opposite side over the hypotenuse

cscx = the hypotenuse over the opposite side

sin^2(x) + cos^2(x) = 1 divide all 3 terms by sin^2(x) to get:

1 + cot^2(x) = csc^2(x)