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.
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Calculus is the study of instantaneous and cumulitive growths of functions with respect to two or more variables. Trigonometry is the study of angles, specifically in triangles.
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.
It is trigonometry.
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.