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.
Yes, it is called arcsin.
arc sine is the inverse function of the sine function so if y = sin(x) then x = arcsin(y) where y belongs to [-pi/2, pi/2]. It can be calculated using the Taylor series given in the link below.
To find the angle whose sine is 0.083, you can use the inverse sine function (arcsin). In degrees, this would be approximately 4.78 degrees. In radians, it is around 0.0833 radians. Since the sine function is periodic, there are additional angles in different quadrants that also satisfy this condition.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Waves are periodic function, as is the sine function.
Yes, it is called arcsin.
NO FALSE
One is the inverse of the other, just like the arc-sine is the inverse of the sine, or division is the inverse of multiplication.
It is sine defined between -pi/2 and + pi/2 radians (-90 deg and +90 deg) and its inverse is defined over this range.
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).
arc sine is the inverse function of the sine function so if y = sin(x) then x = arcsin(y) where y belongs to [-pi/2, pi/2]. It can be calculated using the Taylor series given in the link below.
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
Both the sine and the inverse sine (and similar trigonometric functions) are complicated to calculate. Therefore, you either look it up in a table, or use a scientific calculator. Some values, you should know by heart.Let's try an example: sin x = 0. This asks for the inverse sine, and you can have a calculator calculate it. But you should already know that the sine of 0 is zero, so that is one solution - incidentally, the solution which a calculator gives you if you ask for inverse sine, arc-sine, or something similar (you will usually have to press a special key before the sine function, to get the inverse sine - read the instructions for your calculator).But the sine of x is also equal to zero for an angle of 180 degrees, of 360 degrees, etc. - repeating every 180 degrees (or every pi radians).
To find the angle whose sine is 0.083, you can use the inverse sine function (arcsin). In degrees, this would be approximately 4.78 degrees. In radians, it is around 0.0833 radians. Since the sine function is periodic, there are additional angles in different quadrants that also satisfy this condition.
arcsin(.75)≈0.848062079
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
The basic primitive functions are constant function, power function, exponential function, logarithmic function, trigonometric functions (sine, cosine, tangent, etc.), and inverse trigonometric functions (arcsine, arccosine, arctangent, etc.).