anonymous
  • anonymous
Which value is a solution for the equation tan x/2=0 3pi/2 pi 2pi pi/2
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!
mathstudent55
  • mathstudent55
Where is the tangent equal to zero?
anonymous
  • anonymous
I'm not sure?
mathstudent55
  • mathstudent55
Think of the tangent as being \(\tan x = \dfrac{\sin x}{\cos x}\) The tangent is zero where the sine is zero. At what values is the sine zero?

Looking for something else?

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

More answers

anonymous
  • anonymous
would it also be zero?
mathstudent55
  • mathstudent55
The function y = sin x is zero at all integer multiples pf pi. |dw:1437451807607:dw|
anonymous
  • anonymous
meaning pi would be the answer, right?
mathstudent55
  • mathstudent55
tan x = 0 at ... -pi, 0, pi, 2p-i, 3pi, ...
mathstudent55
  • mathstudent55
So solving your equation, \(\tan \dfrac{x}{2} = 0 \) \(\dfrac{x}{2} = ... -\pi, 0, \pi, 2\pi, ... \) \(x = ... -2\pi, 0, 2 \pi, 4 \pi, ...\)
anonymous
  • anonymous
I'm sorry I'm still confused?
mathstudent55
  • mathstudent55
Remember that your equation was not tan x = 0 Your equation was tan x/2 = 0 Once we found where the tangent has a value of zero, which is every integer multiple of pi, that means x/2 equals every integer multiple of pi. Now we need x. When you multiply every integer multiple of pi by 2, you get every even multiple of pi. The solution to the equation tan x/2 = 0 is every even multiple of pi. There is only one choice that is an even multiple of pi.
anonymous
  • anonymous
2pi??
mathstudent55
  • mathstudent55
Correct.
anonymous
  • anonymous
Thanks!
mathstudent55
  • mathstudent55
You're welcome.
anonymous
  • anonymous
To start off, let's drop the x/2 and just say tanx. Where does tan x = 0?
anonymous
  • anonymous
if you know where tanx = 0. I know your question is tan(x/2), but I was just seeing if you knew tanx = 0. So that means is if it were just X, x would = pi. But we have (x/2). So instead of x = pi, I'll say (x/2) = pi and then say solve for x :3
anonymous
  • anonymous
So 2pi is yo answer just wanted to check the answer.
mathstudent55
  • mathstudent55
Isn't that exactly what I did above?
anonymous
  • anonymous
ya but I wanted to check it im bored soo bored
UsukiDoll
  • UsukiDoll
there's nothing wrong with verification. As long as it's not spam, there's nothing bad about it.

Looking for something else?

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