What is the value of sec(arctan(7/10)) ?

The value of sec(arctan(7/10)) is (sqrt(149))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(arctan(7/10))

sec (arctan (\frac{7}{10}))

\frac{149}{10}

Decimal Notation

1.22065 \dots

Solution steps

sec (arctan (\frac{7}{10}))

Rewrite using trig identities:

sec (arctan (\frac{7}{10})) = 1 + (\frac{7}{10})^{2}

Use the following identity:

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

= 1 + (\frac{7}{10})^{2}

= 1 + (\frac{7}{10})^{2}

Simplify

= \frac{149}{10}

arctan (5.2)

arccos (\frac{- 30}{74 21})

arccos (\frac{6.5}{8.4})

sin (1.95) + cos (1 + (1.95)^{2}) - 1

42 \cdot sin (4 0^{\circ})

What is the value of sec(arctan(7/10)) ?
The value of sec(arctan(7/10)) is (sqrt(149))/(10)