What is sec(arctan(x/a)) ?

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

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simplify sec(arctan(x/a))

simplify

sec (arctan (\frac{x}{a}))

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

Solution steps

sec (arctan (\frac{x}{a}))

Use the following identity:

sec (arctan (x)) = 1 + x^{2}

= 1 + (\frac{x}{a})^{2}

Simplify

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

\frac{1}{cos ^{2} ( x )}

arcsec (\frac{1}{cos ( θ )})

\frac{1}{sin ^{2} ( t )} - 1

\frac{- 2 cos ( nπ )}{n} sin (n x)

sin (θ) - sin (\frac{π}{2} - θ)

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