is that arcsine is (trigonometry) any of several single-valued or multivalued functions that are inverses of the sine function symbol: arcsin, sin-1 while cosecant is (trigonometry) in a right triangle, the reciprocal of the sine of an angle symbols: cosec, csc.

Is arcsin equal to csc?

csc(x)=(sin(x))−1=1sin(x) is the reciprocal of the sin function. So when you have csc(x)=1sin(x)=sin(x)−1 you might think that we would also write that as sin−1(x) , but that’s reserved for arcsin(x) .

Is inverse sin equal to csc?

So the reciprocal of the sine function is called the cosecant and is equal to the hypotenuse / opposite. The cosecant function means 1/sin θ, while the second involves finding an angle whose sine is x.

The inverse sine function, arcsine, will take the ratio of the opposite/hypotenuse (x) and return the angle, θ. So, knowing that, for our triangle, arcsin(x) = θ we can also write that: Sine: sin(arcsin(x)) = x.