Question

[trigonometric] so like, arcsin phi = sin^-1 phi and csc phi = 1/sin phi, what's the difference exactly? is it like F(X)^-1 = X?

Answer 1

You use arcsin to find an angle given the sine. Ex: sin(30 degrees) = 0.5, arcsin(0.5) = 30

1/sin doesn't give you the angle from the sin, it gives you the csc given the sine. Although, there are formulas which exist which give csc in terms of sine.

Answer 2

Arcsine is the inverse of sine, cosecant is the reciprocal of sine. Inverse does not mean the same thing as reciprocal in the context of functions.

Answer 3

so then, does that mean that csc represents x = sin y for example?

Answer 4

If sin(x) = f(x), then arcsin = f^-1(x)

csc(x) = f(x/1)

Answer 5

oh! i see. thanks guys