What is the value of sin((11pi)/8) ?

The value of sin((11pi)/8) is -(sqrt(2+\sqrt{2)})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin((11pi)/8)

sin (\frac{11 π}{8})

- \frac{2 + 2}{2}

Solution steps

sin (\frac{11 π}{8})

Rewrite using trig identities:

- \frac{1 - cos ( \frac{3 π}{4} )}{2}

= - \frac{1 - cos ( \frac{3 π}{4} )}{2}

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

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

Simplify

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

= - \frac{2 + 2}{2}

600 \cdot sin (4 5^{\circ})

e^{c s c (0)}

tan (- \frac{15 π}{4})

3 sin (4 0^{\circ})

arccos (60)

What is the value of sin((11pi)/8) ?
The value of sin((11pi)/8) is -(sqrt(2+\sqrt{2)})/2