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R. 1. Show using similar triangles that tan0 and cot 0 are the respective measures of line segments AR and BQ, which are tangent to the unit circle. (Hint: It should be clear, beforehand, that AO| = |OB| = 1, cos e = |OC| = [SP| and sin 0 = |PC| = |SO].) %3D %3D %3D %3D C.

R. 1. Show using similar triangles that tan0 and cot 0 are the respective measures of line segments AR and BQ, which are tangent to the unit circle. (Hint: It should be clear, beforehand, that AO| = |OB| = 1, cos e = |OC| = [SP| and sin 0 = |PC| = |SO].) %3D %3D %3D %3D C.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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angent wertical R. 1. Show using similar triangles that tan 0 and cot 0 are the respective measures of line segments AR and BQ, which VE are tangent to the unit circle. (Hint: It should be clear, JOC| = [SP| beforehand, that AO = OB = 1, cos 0 |PC| = |SO|.) and sin 0 = 2. We have seen that for a smooth graph, the tangent lines at the stationary points are always horizontal. Ask the class if the converse is true, that is, if the tangent line at a point P is horizontal, does it follow that P is a local extremum point? Answer: No, see point B in Example 2. m the case
Transcribed Image Text:angent wertical R. 1. Show using similar triangles that tan 0 and cot 0 are the respective measures of line segments AR and BQ, which VE are tangent to the unit circle. (Hint: It should be clear, JOC| = [SP| beforehand, that AO = OB = 1, cos 0 |PC| = |SO|.) and sin 0 = 2. We have seen that for a smooth graph, the tangent lines at the stationary points are always horizontal. Ask the class if the converse is true, that is, if the tangent line at a point P is horizontal, does it follow that P is a local extremum point? Answer: No, see point B in Example 2. m the case
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