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Questions on trigonometric and hyperbolic functions, as well as their inverses, in Mathematica.

1
vote
3answers
In many cases involved compute the aera or volume, Mathematica always gives the result contains sum of inverse trigonometric functions. In fact, the result can be simplified contains only one inverse …
asked Nov 9 '17 by mathe
0
votes
1answer
I need to calculate the angle between two points, the returned result should between $0$ to $2π$ and getAngle[point1, point2]==getAngle[point2, point1]. I have tried this ClearAll[getAngle]; getAngl …
asked Apr 1 '16 by mathe
10
votes
3answers
The following Maple code can simplify abs(sin(x)) into -sin(x) given the condition -3Pi/4 < x < -Pi/2 simplify(abs(sin(x))) assuming -3*Pi < x, x < -5*Pi/2; I tried what I thought would be the equi …
asked Apr 22 '14 by mathe
3
votes
2answers
I know $x^3-3 x+1=0$ has three roots that can be expressed in trigonometric form: $\{2\sin(10^\circ),\,-2\cos(20^\circ),\,2\cos(40^\circ)\}$. How can I get this result with Mathematica?
asked Jan 25 '13 by mathe
4
votes
1answer
I want to simplify (1 + 2 Cos[2 x])/(Sqrt[3] - 2 Sin[2 x]) to Tan[x + Pi/3] FullSimplify[(1 + 2 Cos[2 x])/(Sqrt[3] - 2 Sin[2 x])] couldn't simplify it. Why doesn't Mathmatica simplify it?
asked Apr 25 '17 by mathe
0
votes
1answer
My code returns this result involves trigonometric functions, ComplexExpand[Sqrt[a + b I], TargetFunctions -> {Re, Im}] Assuming[{a > 0, b > 0}, FullSimplify@ReIm@Refine@%] In fact, it can be re …
asked May 25 '18 by mathe