What is the value of sec((15pi)/8) ?

The value of sec((15pi)/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((15pi)/8)

sec (\frac{15 π}{8})

2 2 + 2 - 2 2 + 2

Solution steps

sec (\frac{15 π}{8})

Rewrite using trig identities:

\frac{1}{cos ( \frac{15 π}{8} )}

= \frac{1}{cos ( \frac{15 π}{8} )}

Rewrite using trig identities:

cos (\frac{15 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

tan (- 22. 5^{\circ})

- 4 sin (0)

arcsin (cos (- \frac{5 π}{6}))

tan (arctan (π))

cos (\frac{π}{6}) + i sin (\frac{π}{6})

What is the value of sec((15pi)/8) ?
The value of sec((15pi)/8) is 2sqrt(2+\sqrt{2)}-sqrt(2)sqrt(2+\sqrt{2)}