(a) Sketch a radius of the unit circle corresponding toan angle such that tan 0 = 1.(b) Sketch another radius, different from the one inpart (a), also illustrating tan0 = 1.

Answered: Image /qna-images/answer/e10aa64d-64b8-4cc2-871b-1112654ae0b0.jpg

Answered: (a) Sketch a radius of the unit circle…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 3CC

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Determine the sine, cosine, or tangent functions of the following angels. Round the answers to 5 decimal places. tan 65.18
The origins of the sine function are found in the tables of chords for a circle constructed by the Greek astronomers/mathematicians Hipparchus and Ptolemy. However, the origins of the tangent and cotangent functions lie primarily with Arabic and Islamic astronomers. Called the umbra recta and umbra versa, their connection was not to the chord of a circle but to the gnomon of a sundial. Research the origins of the tangent and cotangent functions. What was the connection to sundials? What other contributions did Arabic astronomers make to trigonometry? Write a paragraph or two about your findings.

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(a) Sketch a radius of the unit circle corresponding to an angle such that tan0 = 1. (b) Sketch another radius, different from the one in part (a), also illustrating tan0 = 1.