What is sec(arctan(4x)) ?

The solution to sec(arctan(4x)) is sqrt(1+16x^2)

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simplify sec(arctan(4x))

simplify

sec (arctan (4 x))

1 + 16 x^{2}

Solution steps

sec (arctan (4 x))

Use the following identity:

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

= 1 + (4 x)^{2}

Simplify

= 1 + 16 x^{2}

cos (π + x)

csc (36 0^{\circ} - x)

sin (arccot (x))

8 cos (x + \frac{π}{4})

sin (\frac{3 π}{2} - x)