Gauss Bell Curve - Non negative numbers - Will curve shape from trigonometry be the same as from empirical data?

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Im Johan, new to physics stack exchange, second post. How are you doing:)

Would you help me with this Gauss Bell Curve question please?

Im just looking for a general way to skew the normal distribution curve when its only positive values. Posting it in physics, not math, because you guys do actual measurments and not just theory i suppose.

The practical application is to fit data (x-values that is and can only be positive values) with the right shape normal distribution to make a best guess.

(A couple of years ago i studied engineering, almost finished, got sick in bipolar disorder.

In school we studied some statistics and physics.)

From what i remember Gauss Bell Curve is cos(x + X) Delta x = pi where X is expected maximum y- value and trig function is stretched out on infinite negative to infinite positive x-axis. The trig function never reaches the perimeter. (?)

In other words that trig function and normal distribution is the same thing?

Ive only got cell phone so i drew what i meen on paper and attached image to this post.

Thx for taking a look at it, merry christams:)

Gauss Bell Curve and trigonometry

Gauss Bell Curve and trigonometry2

Some details

Cosinus on bell curve axis (bigger and bigger spacing between angles) enter image description here

Bell curve lower bound (on ordinary axis not bigger and bigger spacing between angles) and cosinus is upper bound enter image description here

Bell curve upper equation and cos lower equation enter image description here

Window settings enter image description here