trigonometric equation

[giuly]

i need help starting this equation sinx+?2=-sinx

if someone could help me i would really appreciate it

 

[Aladdin]

$\displaystyle \text{ You have to show work -- Similar equations where given before and were solved }$

$\displaystyle sinx+\sqrt2=-sinx$

$\displaystyle sinx+sinx=-\sqrt2$

$\displaystyle (sinx)(1+1)=-\sqrt2$

$\displaystyle sinx=-\frac{\sqrt2}{2}$

So , x =

 

[BigGlenntheHeavy]

$\displaystyle sin(x)+\sqrt 2 \ = \ -sin(x)$

$\displaystyle 2sin(x) \ = \ -\sqrt 2$

$\displaystyle sin(x) \ = \ \frac{-\sqrt 2}{2}$

$\displaystyle x \ = \ arcsin(\frac{-\sqrt 2}{2}) \ = \ \frac{-\pi}{4}$

 

[giuly]

oh ok got it thnks for the help