Evaluate (cos(arcsec(3)+arctan(2)))/(cos(arctan(2)))

Divide ${\displaystyle \cos (\mathrm{arcsec}\left(3\right)+\arctan \left(2\right))}$ by ${\displaystyle 1}$.

Convert from ${\displaystyle \frac{1}{\cos \left(\arctan \left(2\right)\right)}}$ to ${\displaystyle \sec \left(\arctan \left(2\right)\right)}$.

Evaluate ${\displaystyle \mathrm{arcsec}\left(3\right)}$.

Evaluate ${\displaystyle \arctan \left(2\right)}$.

Add ${\displaystyle 1.23095941}$ and ${\displaystyle 1.10714871}$.

Draw a triangle in the plane with vertices ${\displaystyle (1,2)}$, ${\displaystyle (1,0)}$, and the origin. Then ${\displaystyle \arctan \left(2\right)}$ is the angle between the positive x-axis and the ray beginning at the origin and passing through ${\displaystyle (1,2)}$. Therefore, ${\displaystyle \sec \left(\arctan \left(2\right)\right)}$ is ${\displaystyle \sqrt{1+2^2}}$.

Raise ${\displaystyle 2}$ to the power of ${\displaystyle 2}$.

Add ${\displaystyle 1}$ and ${\displaystyle 4}$.