What is the value of sec(arctan(8)) ?

The value of sec(arctan(8)) is square root of 65

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sec(arctan(8))

sec (arctan (8))

65

Decimal Notation

8.06225 \dots

Solution steps

sec (arctan (8))

Rewrite using trig identities:

sec (arctan (8)) = 1 + 8^{2}

Use the following identity:

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

= 1 + 8^{2}

= 1 + 8^{2}

Simplify

= 65

arccos (- 0.26)

cos (- \frac{3 π}{4}) + i sin (- \frac{3 π}{4})

arccos (\frac{0}{2})

\frac{5}{sin ( 1 2 ^{\circ} )}

sec (\frac{2}{3})

What is the value of sec(arctan(8)) ?
The value of sec(arctan(8)) is square root of 65