There are several topics under the broad category of trigonometry.
* Angle measurements
* Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions
* Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions
* Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
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If you work in engineering, you'll need trigonometry, and other advanced math topics, all the time. Otherwise, you can come along quite well without it, and will seldom find any practical use for it.
Trigonometry is essential to the study of higher mathematics (calculus) and to the understanding of many scientific and engineering principles. Trigonometry and calculus can be used to model many shapes, motions, and functions in daily life.
YES! If you can't do algebra, you won't last ten seconds in trigonometry. It basically is algebra, just using equations within equations.
It is a number - in trigonometry or elsewhere.
Depending on your career, you may or may not need trigonometry. If your job does not require a lot of math, it is unlikely that you will use trigonometry very often, however, this is not a reason not to study it. The skills and discipline developed in your trigoometry class will help you no matter what career you choose.