symbolic trigonometrical function tan instead of log and imaginary equation

I have this simple code

syms a b x real;

solve(a*sin(x) == b*cos(x),x)

%the answer should looks like x= -atan(b/a)

%I got

-log((a^2 + b^2)^(1/2)/(a - b*1i))*1i

-log(-(a^2 + b^2)^(1/2)/(a - b*1i))*1i

is there a way to avoid complex and log and just make it simple trigonometrical function?

[Walter Roberson]

see rewrite()

[Dyuman Joshi]

Walter, rewrite() does convert the solution in terms of atan but it still contains complex values

syms a b x real

%assumptions
sol=solve(a*sin(x) == b*cos(x),x)

sol = 

rewrite(sol,"atan")

ans = 

Answer 1

[Dyuman Joshi]

syms a b x real
sol1=solve(a*sin(x) == b*cos(x),x,'Real',true)

sol1 = 

The solution obtained above can be derived by changing sin and cos to half angle terms, dividing the equation by (cos (x/2))^2 thus converting the equation into a quadratic equation in tan(x/2) and solving it.

Though I do not know why this particular solution is obtained as the output instead of atan(b/a).

To obtain a general solution and conditions on the solution.

sol2=solve(a*sin(x) == b*cos(x),x,'Real',true, 'ReturnConditions', true)

sol2 = struct with fields:
             x: [2×1 sym]
    parameters: k
    conditions: [2×1 sym]

sol2.x

ans = 

sol2.conditions 

ans =