What is the value of sec(arctan(4)) ?

The value of sec(arctan(4)) is square root of 17

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sec(arctan(4))

sec (arctan (4))

17

Decimal Notation

4.12310 \dots

Solution steps

sec (arctan (4))

Rewrite using trig identities:

sec (arctan (4)) = 1 + 4^{2}

Use the following identity:

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

= 1 + 4^{2}

= 1 + 4^{2}

Simplify

= 17

- 3 sin (3 \cdot \frac{π}{2})

8 sin (19 0^{\circ})

sec (\frac{π}{4}) + 2 csc (\frac{π}{3})

e^{0} sin (0) - \frac{1}{2} (0)

\frac{10}{tan ( 1 5 ^{\circ} )}

What is the value of sec(arctan(4)) ?
The value of sec(arctan(4)) is square root of 17