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- Proof for the formula of sum of arcsine functions $ \\arcsin x . . .
Take the sine of both sides, and use the angle addition formula, then further simplify it by using the fact that $\cos\arcsin t=\sqrt {\cos^2\arcsin t}=\sqrt {1-\sin^2\arcsin t}=\sqrt {1-t^2}$
- Derivative of $\arcsin (x)$ - Mathematics Stack Exchange
Derivative of $\arcsin (x)$ Ask Question Asked 7 years, 10 months ago Modified 1 year ago
- Taking the Derivative of arcsin: How-To Tutorial - Study. com
Taking the derivative of arcsin involves using a reference triangle and the chain rule Learn how to set the formula up correctly and in what order to proceed with derivatives of arcsin
- calculus - Derivative of arcsin, question on provided proof . . .
Derivative of arcsin, question on provided proof Ask Question Asked 5 years ago Modified 5 years ago
- arcsin (x) + arccos(x) = pi 2 - Math Forums
The rule is an identity It's saying that if I pick an x between 1 and 1 inclusive, then I'm guaranteed that arcsin x + arccos x = π 2 For example, arcsin 1 2 = π 6 and arccos 1 2 = π 3 Thus arcsin 1 2 + arccos 1 2 = π 6 + π 3 = π 2 Why x ∈ [1, 1]? Well that's because arcsin x and arccos x are only defined for those x You would use this rule just like any other trig identity When
- $\arcsin (\sin x)$ explanation? - Mathematics Stack Exchange
Yes, arcsin is only defined for values in [-1,1] (complex numbers notwithstanding) And sin only takes values in [-1,1] So therefore any x value can be plugged into arcsin (sin x)
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