What is the value of sec(arctan(1/4)) ?

The value of sec(arctan(1/4)) is (sqrt(17))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(arctan(1/4))

sec (arctan (\frac{1}{4}))

\frac{17}{4}

Decimal Notation

1.03077 \dots

Solution steps

sec (arctan (\frac{1}{4}))

Rewrite using trig identities:

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

Use the following identity:

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

= 1 + (\frac{1}{4})^{2}

= 1 + (\frac{1}{4})^{2}

Simplify

= \frac{17}{4}

100 tan (6 0^{\circ})

sin (1 - i)

sin (0.866)

1.5 sin (524 π (5.82))

- 8 sin (\frac{π}{6})

What is the value of sec(arctan(1/4)) ?
The value of sec(arctan(1/4)) is (sqrt(17))/4