The front of my brows sink in, making me look angry even when I am not. Is there any way I can fix this?

Thank you for your question. Yes, a brow lift can address this issue. We find many patients who turn to brow lift to look the way they feel. I suggest that you move forward and consult with a board certified facial plastic surgeon to determine your candidacy. A brow lift will reduce the creases that have developed on your forehead for a more youthful and rejuvenated appearance.
Best wishes,

Treatment of sagging brows with angry look?  Botox will give you a slight improvement. Otherwise the best treatment is a hairline incision with the irregular Tricho phytic approach which we developed 35 years ago. This will elevate your brows as much as you desire without elevating your hairline  which an endoscopic incision will do. Select a very experienced surgeon and look at his scars before proceeding. 

and not wanting any surgical procedure, your only real option is seeing someone who has the ability to inject neurotoxins in precise areas in hopes of achieving your desired result.  If you have a deep upper lid sulcus, grafting can also produce a more rested look.  Avoid going to providers (ie: non-surgeons) who only have the ability to inject as I guarantee that you will be sold on it and their knowledge of the anatomy is not as good as a surgeons.  Non-surgeons have one tool and they will find a way to use it so they can charge for a procedure.

Chemical brow-lifts, or liquid lifts can help raise
the brows, making people look younger and happier. They require little recovery time and have
fewer risks than surgical procedures. This procedure is often requested by
those who want a brighter look to their eyes and a higher brow, but don’t want
invasive surgery. They may not have a lot of skin to remove surgically, and
they’re not sure they want the permanence of a surgical procedure. Chemical brow-lifts are for younger, active
patients who really don’t want a convalescent period where they’re swollen and
bruised. Chemical brow-lifts are accomplished with the use of either botulinum
toxin A (Botox) or abobotulinum toxin A (Dysport). Both products relax the
corrugator, procerus and orbicularis oculi muscles that pull the eyebrow down.
The muscles that pull the brow up, such as the frontalis, can then function
unopposed. The desired effects last from three to six months. Some can also
combine chemical brow-lifts with laser peels to tighten forehead & elevate
the eyebrow

Botox is sometimes quite effective for this. There are other surgical procedures as well. Seek a consultation iwth a board certified plastic surgeon.

 Yes. I believe the best solution to an angry, tired brow is a simple procedure called a brow lift.  Brow lifts are wonderful for removing vertical and horizontal lines, giving a balanced, natural, and symmetric position to the eyebrows and providing a much more rested, happy and youthful appearance to the eyes and entire upper face. 

The only nonsurgical procedure that I would consider would be injection of Botox or Xeomin to relax the corrugator muscles and the procerus muscles.  This can sometimes provide a dramatic improvement in the "angry" look.A much more dramatic improvement can be achieved with a prehairline browlift that leaves an irregularly irregular incision sometimes with hair growing through it to further camouflaged.  This will raise your brows, soften the wrinkling of your forehead and overall make your face look more rested and feminine.I suggest you meet with a board-certified plastic surgeon to discuss your options.  Best wishes and good luck in your decision-making.
Jon A Perlman M.D., FACS
Diplomate, American Board of Plastic Surgery
Member, American Society for Aesthetic Plastic
Surgery (ASAPS)
Beverly Hills, California

Eye brows "sink in". It is difficult to answer your question without pictures but it does sound like your describing brow ptosis or sagging. Brows can be lifted with a coronal incision in the scalp, using an endoscopic lift, to via an irregular trcihophytic hairline incision. The first two procedures will lift your hairline; the last technique will maintain hairline position or change it to a more desirable location if necessary. Consult with a surgeon who uses all these approaches. 

Without photos we can only guess at what is going on and knowing your age would lead us in different directions depending on young, middle or senior. For now I would suggest you seek consultation with a board certified plastic surgeon. It may be as simple as getting Botox.