# Questions tagged [trigonometry]

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

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### Symbolic solution of differential equation with trigonometric initial conditions

We observe that D[Tanh[x3[t]], t] == Sech[x3[t]]^2 Derivative[1][x3][t] and that ...
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### Mathematica outputs a trigonometric integral ($\sec^3$) in a form I can't prove

The indefinite integral is of course $1/2 ( \sec(x) \tan(x) + \ln | \sec(x) + \tan(x) | ( + C)$. Mathematica gives: ...
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### Solve can not solve the equation correctly in Reals

Here is the error I found. r = 3; Solve[Sqrt[(r^2 Cos[m Pi] - x)^2 + (r^2 Sin[m Pi])^2] == 10 && x > 0 && 0 <= m <= 2, x, Reals] ...
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### Non linear model fit with trigonometric model

I tried to fit the curve of the dataset. I used 'Nonlinearmodelfit' function to get the specific fitted equation. Yes, I can get the result, but I am wondering there is a way to improve the result. ...
178 views

### FindFit with a Sin function

I'm trying to find the fit of Sin-shaped weather data that is provided by Wolfram. My code is as follows: ...
41 views

### Solving simple trig equation [closed]

I tried to solve a simple trig equation. Solve[{Sin[x] == Cos[x], 0 <= x <= Pi}]; The answer should be pi/4 But I get simplify[{{x -> -2 ArcTan[1 - Sqrt[2]]}}]
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### Solar Power Calculations

Good Afternoon, I have calculated the Incident beam radiation for a given locations local sunlight hours. ...