What is the reciprocal function of sin a?

Answer 1

Sin(A) = Opposite/Hypotenuse

Its reciprotcal is

1/Sin(A) = Cosecant(A) = Csc(A) = Hypotenuse / Opposite.

Similarly

Cos(A) = Adjacent/Hypotenuse

Its reciprotcal is

1/Cos(A) = Secant(A) = Sec(A) = Hypotenuse / Adjacent

Tan(A) = Opposite/Adjacent

Its reciprotcal is

1/Tan(A) = Cotangent(A) = Cot(A) = Adjacent / Opposite.

Answer 2

Since sin(a)=opposite/hypotenuse, the reciprocal function is that function which is equal to hypotenuse/opposite. This is "cosecant", or csc(a).

The reciprocal of sin(a) is csc(a).

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