Reflection On Trigonometry

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This year, I took Trigonometry/Probability and Statistics. In the first semester, we studied Trigonometry. Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant function of any angle. This class can be very challenging, but at the same time can be very easy. My teacher makes the class a whole lot easier. She is a great teacher, and she explains and works out the problems until we understand them. Ms. Lawson knows exactly what she is doing, and she could probably solve any math problem you gave her. She is a great math teacher, and she is great and what she does. It all depends on the person, whether the class is easy or hard. Some people can instantly pick up on how…show more content…
Within the chapter we learned how sine, cosine, tangent, cosecant, secant, and cotangent are graphed. They all have unique graphs. Each of the graphs can be identified by the shape of the lines. A sine graph starts at 0 and has a period of 2π. It also has a domain of (-infinity, +infinity), a range of [-1, +1]. The next type of graph is a cosine graph. This graph has a period of 2π, an amplitude of 1, the zeros are odd, and has multiples of π/2. The domain of a cosine graph is from (-infinity , +infinity) and the range [-1, +1]. A tangent graph is a little different from the first two. This graph has a period of π, no amplitude, and the zeros are multiples of π. This graph also has a vertical asymptote that is at π/2. The domain equals all real numbers except for the vertical asymptote and the range is from (-infinity, +infinity). The next three graphs are the reciprocal of the first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent. With that being said, a cosecant graph has a period of 2π, no amplitude, no x-intercepts, the vertical asymptote is at the multiples of π, the domain equals all real numbers except for multiples of π, and the range is from (-infinity, -1] U [1, +infinity). The next graph is secant, it has a period of 2π, no amplitude, no x-intercepts, the vertical asymptote is all multiples of π/2, the domain equals all real numbers except for the multiples of π/2, and the range equals ( -infinity, -1] U [1, + infinity). Finally, the cotangent graph. This graph has a period of π, no amplitude, the x-intercepts are odd π/2, the vertical asymptote equal multiples of π, the domain equals all real numbers except the multiples of π, and the range is from (-infinity, + infinity) I learned how to set up a graph. I also learned how to take an equation on a blank graph. This section also taught me how a graph
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