What is the value of sec(arctan(2)) ?

The value of sec(arctan(2)) is square root of 5

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sec(arctan(2))

sec (arctan (2))

5

Decimal Notation

2.23606 \dots

Solution steps

sec (arctan (2))

Rewrite using trig identities:

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

Use the following identity:

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

= 1 + 2^{2}

= 1 + 2^{2}

Simplify

= 5

\frac{23}{4.53} \cdot cos (26.1 6^{\circ})

55 \cdot sin (6 0^{\circ})

cos (2 (135))

\frac{sin ( 0 )}{1 - cos ( 0 )}

sin (1.04718)

What is the value of sec(arctan(2)) ?
The value of sec(arctan(2)) is square root of 5