- #1
fizzzzzzzzzzzy
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what do you do if you have to evaluate arcsin2?
What do you do if you have to evaluate arcsin2?
- Thread starter fizzzzzzzzzzzy
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In summary, to evaluate arcsin2, you must solve the equation sin(x)=2, which has no real solutions and in the complex plane has the solution x=-i\ln\left(2\pm i\sqrt{3}\right)+2k\pi, for all integer values of k. However, using a Pade approximant may give a potential solution, although it would diverge.
- #2
radou
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fizzzzzzzzzzzy said:
Nothing, since 2 is not in the domain.
- #3
HallsofIvy
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[itex]-1\le sin(x) \le 1[/itex]
There is no x such that sin(x)= 2 and so arcsin 2 is not defined.
There is no x such that sin(x)= 2 and so arcsin 2 is not defined.
- #4
Gib Z
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Perhaps get the series for it and sub in 2, see what happens :S
- #5
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fizzzzzzzzzzzy said:
It comes down to solving the equation
[tex] \sin x =2 [/tex]
which has no solution in [itex] \mathbb{R} [/itex], and in [itex] \mathbb{C} [/itex] has the solution
[tex] x=-i\ln\left(2\pm i\sqrt{3}\right)+2k\pi \ , \forall k\in\mathbb{Z} [/tex]
- #6
arildno
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Gib Z said:
Which would diverge.
A Pade approximant might give you some silly number, though.
FAQ: What do you do if you have to evaluate arcsin2?
What is arcsin2 and why would someone need to evaluate it?
Arcsin2 is a mathematical function that represents the inverse sine of a number squared. It is often used in trigonometric equations to solve for the angle when given the sine value. Evaluating arcsin2 involves finding the angle that produces a sine value of 2.
How do you evaluate arcsin2?
To evaluate arcsin2, you will need a calculator or a mathematical software program. Simply enter the number 2 and then press the "arcsin" or "sin-1" button. The resulting value will be the angle in radians that produces a sine value of 2.
Can arcsin2 be evaluated without a calculator or software?
No, it is not possible to accurately evaluate arcsin2 without a calculator or software. The value of arcsin2 is not a simple, whole number and requires a more complex calculation to determine the angle.
What are some applications of evaluating arcsin2?
Evaluating arcsin2 is often used in physics and engineering to solve problems involving angles and trigonometric functions. It can also be used in computer graphics and animation to create smooth curves and angles.
Are there any tips for evaluating arcsin2?
One tip for evaluating arcsin2 is to make sure your calculator is set to radians, as this is the unit in which the angle will be measured. Also, check your answer by using the inverse sine function to see if it produces a sine value of 2. If not, then there may have been an error in the calculation.