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

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

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simplify sec(arctan(y/x))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

sin (12 0^{\circ} - a)

arctan (tan (x + \frac{π}{8}))

sin (- 1 (x))

cos (9 0^{\circ} + θ) + sin (θ)

cos (4 x - \frac{π}{2})

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