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.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.1: Basic Graphs
Problem 49PS
Related questions
Question
100%
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79c8e7b4-68a4-440f-bb09-22966f76e013%2F2c0ae8a5-2e6b-4683-994d-eddf0ac0978d%2Fq00635_processed.jpeg&w=3840&q=75)
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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