What is arctan(((x))/((a+sqrt(a^2+x^2)))) ?

The solution to arctan(((x))/((a+sqrt(a^2+x^2)))) is arctan(-(a-sqrt(x^2+a^2))/x)

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simplify arctan(((x))/((a+sqrt(a^2+x^2))))

simplify

arctan (\frac{( x )}{( a + a ^{2} + x ^{2} )})

arctan (- \frac{a - x ^{2} + a ^{2}}{x})

Solution steps

arctan (\frac{x}{a + a ^{2} + x ^{2}})

\frac{x}{a + a ^{2} + x ^{2}} = - \frac{a - x ^{2} + a ^{2}}{x}

= arctan (- \frac{a - x ^{2} + a ^{2}}{x})

(- \frac{1}{2} + \frac{j}{2})^{4}

2^{3} x - 7 n - 1

5 x^{3} - 3 x^{3} + 2

m^{16} + m^{8} n^{8} + n^{16}

(3 x^{3} + cos (x))^{1}

What is arctan(((x))/((a+sqrt(a^2+x^2)))) ?
The solution to arctan(((x))/((a+sqrt(a^2+x^2)))) is arctan(-(a-sqrt(x^2+a^2))/x)