What is sec(arctan(1/x)) ?

The solution to sec(arctan(1/x)) is (sqrt(x^2+1))/x

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simplify sec(arctan(1/x))

simplify

sec (arctan (\frac{1}{x}))

\frac{x ^{2} + 1}{x}

Solution steps

sec (arctan (\frac{1}{x}))

Use the following identity:

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

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

Simplify

= \frac{x ^{2} + 1}{x}

cos (θ + \frac{π}{2}) - sin (θ) - 1

\frac{2}{cos ( 2 s - 3 )} + π

(sin (t + \frac{3 π}{4}))^{2}

(cos (0) - cos (- π)) d x

3 \cdot cos (x + 2 π) + 15