What is the value of sec((3pi)/8) ?

The value of sec((3pi)/8) is 2sqrt(2-\sqrt{2)}+sqrt(2)sqrt(2-\sqrt{2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec((3pi)/8)

sec (\frac{3 π}{8})

2 2 - 2 + 2 2 - 2

Solution steps

sec (\frac{3 π}{8})

Rewrite using trig identities:

\frac{1}{cos ( \frac{3 π}{8} )}

= \frac{1}{cos ( \frac{3 π}{8} )}

Rewrite using trig identities:

cos (\frac{3 π}{8}) = \frac{2 - 2}{2}

= \frac{1}{\frac{2 - 2}{2}}

Simplify

\frac{1}{\frac{2 - 2}{2}} : 2 2 - 2 + 2 2 - 2

= 2 2 - 2 + 2 2 - 2

sec (arccos (- \frac{1}{2}))

cot^{2} (4 5^{\circ}) - csc^{2} (4 5^{\circ})

arcsin (1.2)

1 + sin (0)

\frac{1}{tan ( \frac{π}{2} )}

What is the value of sec((3pi)/8) ?
The value of sec((3pi)/8) is 2sqrt(2-\sqrt{2)}+sqrt(2)sqrt(2-\sqrt{2)}