How to Get Rid of "Angry Look" on my Face?

Botox is by far the best option for treatment of your brow furrow and should last 3-4 months. There is a surgery to remove the muscles that cause that furrow but this usually leaves the patient with a very flat affect and is not recommended.

These expression lines on your forehead which are misinterpreted by your friends and family can be effectively treated every 3 to 4 months with Botox.

For wrinkles between the brows, Botox is an excellent option.  Some patients simply do not want to have injections performed every 3-4 months, which is understandable.  The one thing to remember is that nothing really works better for wrinkling between the brows than neuromodulator medications like Botox, Dysport, or Xeomin.  The procedure can be performed quickly and easily in the office within just a few minutes, and patients can then go about their day.
For those who are strongly opposed to these injections, other options do exist, including laser skin resurfacing, chemical peels, dermabrasion, microneedling, topical skin care, fillers, and brow lifting techniques that directly weaken the muscles in this area.  All of these options can help, but in most cases, tend to have higher risks and less chance of success than Botox.
A consultation with a facial plastic surgeon or plastic surgeon can be helpful to review all of the options in detail.
All the best,

Botox is very effective at softening the lines between the eyes and on the forehead. However, descent of the brow between the eyes may also deepen furrows in this location and cause an "angry look". A good, long-lasting option is a brow lift. This may be performed a variety of ways primarily depending on the height of your hairline.

So, this very well could be the furrow you are referring to. Another area to pay attention to is the brow position. Brow position can have a profound effect on how people perceive ones mood. That is something to keep in mind. I think there is no doubt you would benefit from botox. If you wanted a more permanent treatment we can reduce the muscle that causes the issue (corrugators and/or the procerus muscle). We do that often during a brow lift. 
Another option, which I am a big fan of, is fat transfer. We can fill those furrows as well as lift the lateral peak of the brow. Something to research a bit at the least. 
Hope this helps.
Best of luck,
DrC

You are describing a very common concern.  Even though you may not feel you have the time, I would recommend botox to keep your muscles from deepening the furrow.  The first appointment usually takes 15 minutes, since your injector will want to explain the effect and side effects to you.  If you get a good dose, you will return about every four months.  These repeat appointments can be very quick - even as quick as five minutes.If the furrow is very deep, you may also want to consider filler, which will soften the indentation.  Fillers do take a bit longer to inject than botox, but in this area, they can last for many months.  If you keep the area motion-free with regular botox, your filler may even last more than a year.

Botox and Dysport are among the most common ways to soft the frown look between the brows.  You can also consider the use of dermal fillers such as Restylane Silk which can directly soften the frown lines when you are not making any facial expression.  Alone, a dermal filler will not prevent you from frowning, however, it will soften the degree of active frowning, or the degree of static frown lines.  I would definitely go to someone who has a lot of experience in this region and understands to risks in this area.

Botox can dramatically improve the angry look you may have, however you may also want to consider fillers. Both achieve temporary results (lasting from 4 to 9 months or so). You can also try laser skin treatments, but they require a few sessions to achieve a noticeable improvement. 

This is a common question of patients.  You're correct that Botox is used to treat the "angry lines" or "frown lines" or "11s" between the eyebrows.  Although Botox treatments are generally repeated every 3-4 months, the injections are rapid with no downtime after, generally little or no discomfort, and low risk of complications.

It's not
unusual for patients to have concerns about their brow region when they
experience facial aging. These patients often complain of brow descent,
transverse forehead wrinkles, and vertical frown lines. These physical changes
tend to make patients look tired and angry which can be a social disability.
For these reasons, it's not unusual for patients to seek correction of this
problem.

Several options
are currently available for treating this type of problem. These include botox
which weakens the corrugator muscles, division of the corrugator muscles,
dermal fillers which fill in the vertical frown lines and when brow descent is
present brow lift procedures as well.

In someone who
has vertical glabellar frown lines who wants a more permanent solution and is
adverse to repetitive injections of dermal fillers and botox, surgery may be
the best option, especially if brow descent is present as well. Under these
circumstances, an endoscopic brow lift might be an excellent alternative.

If you’re  considering endoscopic brow lift,
consultation with a board-certified plastic surgeon is appropriate. This
surgeon should be able to formulate a treatment plan that’s
appropriate for you.

When we are deep in thought or angry, the corrugator muscles contract between the brows, creating a deep line or lines sometimes called the "11's".  After repeated contracture of this muscle, the "11's" can become pronounced lines, even at rest.  Botox works by relaxing these muscles.  With deeper lines, consistent use of Botox, sometimes in combination with filler may be required to create a smoother contour and improvement of the "angry look".