What is sec(arctan((4x)/3)) ?

The solution to sec(arctan((4x)/3)) is (sqrt(9+16x^2))/3

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simplify sec(arctan((4x)/3))

simplify

sec (arctan (\frac{4 x}{3}))

\frac{9 + 16 x ^{2}}{3}

Solution steps

sec (arctan (\frac{4 x}{3}))

Use the following identity:

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

= 1 + (\frac{4 x}{3})^{2}

Simplify

= \frac{9 + 16 x ^{2}}{3}

cos (arccos (10 x))

2 cos (θ - \frac{3 π}{2}) + 1

tan (arcsin (θ))

- cos (- nπ)

cos (sin (2 π - x))

What is sec(arctan((4x)/3)) ?
The solution to sec(arctan((4x)/3)) is (sqrt(9+16x^2))/3