Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

  • uri

Halp meh pliss, The number of positive values of x less than 360 degrees which satisfy the equation sin 1/2x =cos x is? a)0 b)1) c)2 d)3 e)4

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
You do math too? D:
  • hba
Mujhe bhi yaqeen nahi horaha :P
looks like there are two http://www.wolframalpha.com/input/?i=sin%28x%2F2%29%2Ccos%28x%29+domain+0..2pi

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

write cosx in terms of sin^2 x/2 and solve!
  • uri
1/2x=sin^2x/2 Right ?
cosx= 1-2sin^2 (x/2)
you get a quadratic.. solve for x..
  • uri
2sin^2(x/2)+cosx-1=0
2t^2 + t -1=0 where t=sin(x/2)
  • uri
Quad,breaking the middle term or completing the square method?
breaking the middle term.. you would get (2t-1)(t+1)=0 where t=sin(x/2)
  • uri
eh,2t-1=0=)t=1/2 t+1=0=)t=-1
yup!
  • uri
Sin(x/2)=1/2 Sin(x/2)=-1
so there would be 3 values of x/2 in 0 to 360.. 30,120,270. so x=60,240,540.. since you want from 0 to 360.. there would be 2 solns..
  • uri
it was Sin x/2
if sin(x/2) = 1/2 , what is x? 0>x>360
  • hba
Oh so, sin x/2 =cos x ?
1- sin^2(x/2)= cosx @hba
  • uri
em BOREEEEEED.
look.. let x/2=k .. sin(k)=1/2 --> k=30, 120.. --> x=60, 240
cosx= 1-2sin^2 (x/2) @hba missed the two..
thik hai? @uri
@yrelhan4 since \(\displaystyle 0 \leq x \leq 360\) then \(\displaystyle 0 \leq \frac{x}{2} \leq 180\)
now, \(\sin x/2 = 1/2\) therefore \(x/2=30, 150\) or \(x=60, 300\)
  • uri
Yrelhan GUESSSS WHAT?! I donyt undastand aaaanythang nd ima sho confuzzeld tooh,I caant eveen speel corractly. o.O
lol.. i am such a fool.. you are right! @sirm3d
  • uri
Wut iz the aaansweeer?! none of my option matches your answer!
i just wrotw150 value wrong, right? why am i a fool then? :P
the other equation, \(\sin x/2 = -1\) has no solution in \(0 \leq \frac{x}{2} \leq 180\)
@uri 2.. final!
  • uri
@sirm3d sinx/2=1 has no solution so we will leave it? xD
@uri its sin(x/2) = -1
  • uri
k.
@uri, just count the number of solutions: \(x=60^0,\;300^0\)
  • uri
@sirm3d 2 solutions?
yup. (C) 2
are kitni baar puchegi? @uri :P
  • uri
AMG THANKYOUUUUUUUUUUUUU!AMG THANKYOUU SOO MUCHHHHH!!!! :D
mera medal.. :'( .. aadha to maine solve kiya..
huh!
  • uri
You have 2 now :P
haha.. he's got 2 now too!
  • uri
Happy? :D
ha! yes.. :P
  • uri
Yw xD

Not the answer you are looking for?

Search for more explanations.

Ask your own question