Discuss the similarities and differences between y=sin θ and y = cscθ

Answer 1

sinx = 1/cscx

-1 < sinx < +1,

cscx > +1 or cscx< -1

sinx = opposite side over hypotenuse

cscx = hypotenuse over opposite side

both have the same sign. If sinx >0 then cscx > 0, if sinx<0, then cscx<0

both have the same period= 2pi

both have the same midline

they have inverse y values. if sinx = 1/2 cscx = 2

both are in the same quadrant

sin^2(x) + cos^2(x) = 1 for all x. It's an identity

1 + cot^2(x) = csc^2(x) for all x it's an identity