anonymous
  • anonymous
Solve: sin x + sin 2x = 0
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
break down sin2x into 2sinxcosx sinx+2sinxcosx=0 sinx(1+2cosx)=0 sinx=0 or 1+2cosx=0 sinx=0 or cosx=-1/2
anonymous
  • anonymous
where did you get the (1+2cosx) from ?
cwrw238
  • cwrw238
sinx + 2 sinx cos x = 0 sin x ( 1 + 2 cos x) = 0 sinx = 0 , cos x = -1/2 for x between 0 and 360 x = 0, 180, 360, 120, 240 degrees

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
i factored out a sinx from each term on the left
anonymous
  • anonymous
can you please explain it more?
anonymous
  • anonymous
sin(2x)=2sin(x)*cos(x)
anonymous
  • anonymous
Rewrite the equation with this in mind
anonymous
  • anonymous
sin(x)+2sin(x)*cos(x)=0
anonymous
  • anonymous
ok
anonymous
  • anonymous
Now you can factor out a sin(x) from each term
anonymous
  • anonymous
sin(x)[1+2cos(x)]=0
anonymous
  • anonymous
if you were to distribute the sin(x), you'd get back to sin(x)+2sin(x)cos(x)=0
anonymous
  • anonymous
that's just explaining how it was factored, don't distribute it
anonymous
  • anonymous
understand that?
anonymous
  • anonymous
hmm it is kinda confusing, I'm still trying to understand, sorry I'm kinda slow :(
anonymous
  • anonymous
suppose we let sinx=a and cosx=b
anonymous
  • anonymous
a+2ab=0
anonymous
  • anonymous
i get the part sin x + 2sinxcosx = 0 it's in the book
anonymous
  • anonymous
a(1+2b)=0
anonymous
  • anonymous
but i dont get the part (1+2cos x) from ?
anonymous
  • anonymous
replace a and b with the values we substituted them for sinx(1+2cosx)=0

Looking for something else?

Not the answer you are looking for? Search for more explanations.