The inverse sine is the cosecant, otherwise known as "hypotenuse over opposite" or arcsine. The cosecant is often confused as being the inverse of the cosine, which, in reality, is the secant, otherwise known as "hypotenuse over adjacent" or arccosine.
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
The six basic functions of trigonometry are the sine, cosine, tangent, cosecant, secant, and cotangent functions. Abbreviated sin, cos, tan, csc, sec, cot.
Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).
cot(x) = sqrt[cosec^2(x) - 1]
csc(x) = 1/sin(x) = +/- 1/sqrt(1-cos^2(x))
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
Cosecant, or the inverse of the cosine.
sine, cosine, tangent, cosecant, secant and cotangent.
Sine, Cosine, Tangent, Cotangent, secant and cosecant
sine, cosine, tangent, cosecant, secant, cotangent.
Assuming that "secany" is meant to be secant, the answer is cosecant.
The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent
sine, cosine, tangent, cosecant, secant and cotangent.
Sine, Cosine, Tangent, Cosecant, Secant, Cotangent.
No. The inverse of the secant is called the arc-secant. The relation between the secant and the cosecant is similar to the relation between the sine and the cosine - they are somehow related, but they are not inverse functions. The secant is the reciprocal of the cosine (sec x = 1 / cos x). The cosecant is the reciprocal of the sine (cos x = 1 / sin x).
You don't have buttons for cotangent, secant, and cosecant because you don't need them. Just invert. Cotangent is 1 over tangent, secant is 1 over sine, and cosecant is 1 over cosine.