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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Trigonometry includes 12 baisic functions. Sine, Cosine, and Tangent are the three most baisic. Each of those functions has a reciprocal. Cosine's reciprocal is Secant, Sine reciprocal is Cosecant, and Tangent's reciprocal is Cotangent. Each of those six functions has an inverse funcion called Inverse Sine, Cos etc... or Arcsine, Arcosine, Arcsecant, etc.... The shorthand for each function is sin, caos, tan, sec, csc, cot. The inverses have a -1 notation like sin-1.
The answer is cos A . cos A = 1/ (sec A)
negative
cos 71
That depends on the value of the angle, theta. csc is short for "cosecans", and is the reciprocal of the sine. That is, csc theta = 1 / sin theta.