What is the value of sec(arccos((sqrt(3))/2)) ?

The value of sec(arccos((sqrt(3))/2)) is (2sqrt(3))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(arccos((sqrt(3))/2))

sec (arccos (\frac{3}{2}))

\frac{2 3}{3}

Decimal Notation

1.15470 \dots

Solution steps

sec (arccos (\frac{3}{2}))

Rewrite using trig identities:

sec (arccos (\frac{3}{2})) = \frac{1}{( \frac{3}{2} )}

Use the following identity:

sec (arccos (x)) = \frac{1}{x}

= \frac{1}{( \frac{3}{2} )}

= \frac{1}{\frac{3}{2}}

Simplify

= \frac{2 3}{3}

- cos (- π)

tan (\frac{π}{7})

arctan (2.5)

cot (- \frac{3 π}{2})

cos (\frac{2 π}{3}) + i sin (\frac{2 π}{3})

What is the value of sec(arccos((sqrt(3))/2)) ?
The value of sec(arccos((sqrt(3))/2)) is (2sqrt(3))/3