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.
Sine Its reciprocal is Cosecant Algebraically Sin ; Reciprocal is '1/ Sin' known as 'Cosecant(Csc)'. Similarly Cos(Cosine) ; 1/ Cos (Secant(Sec)) Tan(Tangent) ; 1/ Tan ( Cotangent(Cot)).
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
A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.
The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.
sin theta and csc theta are reciprocal functions because sin = y/r and csc = r/y you use the same 2 sides of a triangle, but you use the reciprocal.
The reciprocal of sine is sin(-1). -1 being above the sin in small text like a squared number. * * * * * NO! sin-1 is the inverse function of sin, and that is not the same as the reciprocal. The reciprocal of sin(x) is 1/(sin(x) which is cosec(x). The following simple example will illustrate the difference between a reciprocal and inverse. Consider the function which doubles the value of its argument. That is f(x) = 2x The inverse of f(x) is the function g which halves its argument ie g(x) = x/2. The function g(x) reverses the action of f(x) and f(x) reverses g(x). Thus f[g(x)] = x for all x. The reciprocal of f(x) is 1/f(x) = 1/2x. So that for any value x, f(x) multiplied by its reciprocal (if it exists) always equals 1.
Sine Its reciprocal is Cosecant Algebraically Sin ; Reciprocal is '1/ Sin' known as 'Cosecant(Csc)'. Similarly Cos(Cosine) ; 1/ Cos (Secant(Sec)) Tan(Tangent) ; 1/ Tan ( Cotangent(Cot)).
Cosecant(Csc) = 1 / Sin . Hence its recip[rocal is 'Sin'(Sine). Similarly Secant(Sec) = 1/ Cos . Hence its reciprocal is 'Cos'(Cosine) Cotangent(Cot) = 1 /Tan . Hence its reciprocal is 'Tan'(Tangent).
Reciprocal parent function
sin2csc2-sin2 (using the fact that the sin is the reciprocal of csc) = 1-sin2
There are no real life applications of reciprocal functions
Reciprocal of tangent is '1 /tangent' or ' Cosine / Sine '
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.
a dick