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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.
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Why inverse sine function also known as arc sine?
Yes, it is called arcsin.
How do you calculate arc sine?
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.
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How is sine affiliated with waves?
Waves are periodic function, as is the sine function.
What is reciprocal in trigonometry?
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
Why inverse sine function also known as arc sine?
Yes, it is called arcsin.
Does the notation of arcsin x represent the inverse function to sine?
NO FALSE
How are exponential and log functions related?
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.
Is the inverse function of secant is the cosecant function?
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).
What is principle sine function?
It is sine defined between -pi/2 and + pi/2 radians (-90 deg and +90 deg) and its inverse is defined over this range.
How do you calculate arc sine?
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.
The inverse sine of 833?
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
How do you solve sin x equals constant?
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).
What is the inverse sine of 0.75?
arcsin(.75)≈0.848062079
What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How is sine affiliated with waves?
Waves are periodic function, as is the sine function.
