1. cos(arccos(u) + arccos(v)) First, we should think of arccos(u) and arccos(v) as angles. Make up some names for them. Set a = arccos(u) and 3 = arccos(v). Use what you know about compositions of trig function and inverse trig functions to compute the following: cos(a) = cos(arccos(u)) cos(3)= cos(arccos(v)) sin(a) = sin(arccos(u)) • sin(3) = sin(arccos(v)) Now that we know cos(a), cos(3), sin(a) and sin(3), we can use angle addition formulas to compute cos(arccos(u) + arccos(v)) = cos(a + 3) = = In your final answer and should be the independent variables

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. cos(arccos(u) + arccos(v))
First, we should think of arccos(u) and arccos(v) as angles. Make up some names for them. Set
a = arccos(u) and 3 = arccos(v).
Use what you know about compositions of trig function and inverse trig functions to compute the following:
cos(a) = cos(arccos(u))
cos(B) = cos(arccos(v)):
sin(a) = sin(arccos(u))
sin(B) = sin(arccos(v))
Now that we know cos(a), cos(3), sin(a) and sin(3), we can use angle addition formulas to compute
• cos(arccos(u) + arccos(v)) = cos(a + 3) =
=
In your final answer, u and u should be the independent variables.
=
=
=
Transcribed Image Text:1. cos(arccos(u) + arccos(v)) First, we should think of arccos(u) and arccos(v) as angles. Make up some names for them. Set a = arccos(u) and 3 = arccos(v). Use what you know about compositions of trig function and inverse trig functions to compute the following: cos(a) = cos(arccos(u)) cos(B) = cos(arccos(v)): sin(a) = sin(arccos(u)) sin(B) = sin(arccos(v)) Now that we know cos(a), cos(3), sin(a) and sin(3), we can use angle addition formulas to compute • cos(arccos(u) + arccos(v)) = cos(a + 3) = = In your final answer, u and u should be the independent variables. = = =
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