What is the value of sin((17pi)/(12))+sin((13pi)/(12)) ?

The value of sin((17pi)/(12))+sin((13pi)/(12)) is -sqrt(3/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin((17pi)/(12))+sin((13pi)/(12))

sin (\frac{17 π}{12}) + sin (\frac{13 π}{12})

- \frac{3}{2}

Solution steps

sin (\frac{17 π}{12}) + sin (\frac{13 π}{12})

Rewrite using trig identities:

2 sin (\frac{5 π}{4}) cos (\frac{π}{6})

= 2 sin (\frac{5 π}{4}) cos (\frac{π}{6})

Rewrite using trig identities:

sin (\frac{5 π}{4}) = - \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

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

Simplify

2 (- \frac{2}{2}) \frac{3}{2} : - \frac{3}{2}

= - \frac{3}{2}

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

cos (- \frac{7 π}{2})

csc (\frac{- π}{6})

arcsin (0.26)

sec^{2} (4 7^{\circ}) - tan^{2} (4 7^{\circ})

What is the value of sin((17pi)/(12))+sin((13pi)/(12)) ?
The value of sin((17pi)/(12))+sin((13pi)/(12)) is -sqrt(3/2)