What is the value of sec(arctan(2/5)) ?

The value of sec(arctan(2/5)) is (sqrt(29))/5

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sec(arctan(2/5))

sec (arctan (\frac{2}{5}))

\frac{29}{5}

Decimal Notation

1.07703 \dots

Solution steps

sec (arctan (\frac{2}{5}))

Rewrite using trig identities:

sec (arctan (\frac{2}{5})) = 1 + (\frac{2}{5})^{2}

Use the following identity:

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

= 1 + (\frac{2}{5})^{2}

= 1 + (\frac{2}{5})^{2}

Simplify

= \frac{29}{5}

sin (- \frac{13 π}{6})

40 cos (3 5^{\circ})

tan (- 42 0^{\circ})

6 sin (π)

2 cos (- 2)

What is the value of sec(arctan(2/5)) ?
The value of sec(arctan(2/5)) is (sqrt(29))/5