Has this equation one symbolic solution?

[ValeryOchkov]

Has red equation one symbolic solution?

See please the picture and the Mathcad 15 sheet in attach!

[ValeryOchkov]

Sorry, more simple

[LucMeekes]

The 'official' (according ISO 80000-2) symbols for tangent and inverse hyperbolic sine are respectively:

'tan' (The standard explicitly mentions that 'tg' should not be used!)

'arsinh' (no 'c' between r and s ! Note that the inverse of the sine function is officially 'arcsin', with 'c'.)

Luc

[ValeryOchkov]

Thanks, Luc!

And what about tan(a)^2 and tan^2 a?

[LucMeekes]

According to the standard:

(sin x)², (cos x)², etc. are often written  sin² x, cos² x, etc.

Note that the standard does not use:

sin(x), cos(x) etc. But it does use function definitions like f(x).

In Mathcad (sin(x))² equals sin(x)², but you could define the function sin²(x):=sin(x)² , which conforms to the standard.

Note also that sin, cos etc, are (to be) written in upright font because they are generally defined functions.

The function f is to be written in italic font. It's fairly easy to define sin:=sin and cos:=cos in Mathcad, when the font for Variables (tag) is set to italic.

Success!
Luc

[ValeryOchkov]

Michael Kirsanov and Maple give us one simple symbolic solution atan(sqrt(5) - 1) with accuracy 1.3%

[ValeryOchkov]

One more version of the visual solution