Write a discussion paper on the Foundations of Trigonometry.
Chapters 7 and 8 (Abramson, J. (2017). Algebra and trigonometry. OpenStax, TX: Rice University. Retrieved from https://openstax.org/details/books/algebra-and-trigonometry)
For the paper, answer the following questions:
(1) Find the length of an arc in a circle of radius 10 centimeters subtended by the central angle of 50°. Show your work.
(2) Graph f(x) = x sin x on [-4π, 4π] and verbalize how the graph varies from the graphs of f(x) = +-x.
Graph f(x) = (sin x) / x on the window [-5π, 5π] and describe freely what the graph shows. You can use www.desmos.com/calculator to obtain the graphs.
(3) A 23-ft ladder leans against a building so that the angle between the ground and the ladder is 80°. How high does the ladder reach up the side of the building? Show the steps of your reasoning.
Be sure to use in-text citation and provide references for your sources, including textbooks.
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