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Complete the following questions utilizing the concepts introduced in this unit.
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)= pm x .
Graph f(x)= frac{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.
Reference
Abramson, J. (2021). Algebra and trigonometry (2nd ed.). OpenStax, TX: Rice University. Retrieved from https://openstax.org/details/books/algebra-and-trigonometry-2e
Read the following sections in Chapters 7.1- 7.3 and 8.1 – 8.3
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