What is the value of sec(arctan(3)) ?

The value of sec(arctan(3)) is square root of 10

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sec(arctan(3))

sec (arctan (3))

10

Decimal Notation

3.16227 \dots

Solution steps

sec (arctan (3))

Rewrite using trig identities:

sec (arctan (3)) = 1 + 3^{2}

Use the following identity:

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

= 1 + 3^{2}

= 1 + 3^{2}

Simplify

= 10

6 \cdot cos (6 0^{\circ})

tan (arctan (3))

cos (0) - 0 sin (0)

sin (arcsin (\frac{3}{5}) - arccos (- \frac{4}{5}))

2 sin (\frac{11 π}{6})

What is the value of sec(arctan(3)) ?
The value of sec(arctan(3)) is square root of 10