What is is arcsin the same as csc?

No, arcsin and csc are not the same.

  • Arcsin is the <a href="https://www.wikiwhat.page/kavramlar/inverse%20sine%20function">inverse sine function</a>. It answers the question: "What angle has a sine equal to this value?". The domain of arcsin is [-1, 1] and the range is [-π/2, π/2].

  • Csc (cosecant) is the reciprocal of the sine function. That is, csc(x) = 1/sin(x). The domain of csc(x) is all real numbers except for integer multiples of π (where sin(x) = 0), and the range is (-∞, -1] ∪ [1, ∞).

Therefore, arcsin(x) gives you an angle, while csc(x) gives you a ratio (the reciprocal of sine). They are fundamentally different functions and are not interchangeable.