Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Ans 1- Prove L{et coskt} = S+a We Know that ast Hen L{eat.coskt}= fat at coskt dt -st-at • coskt dt (Sta)t dt - (1) let --(S4)t e I= . cos kt dt -(2) Coskt by usng frmula integaadion f two functions - (sta)t Lim Coskt. e - Coso. e Sensmet) - (s+4}t dt -(s+a) -ksinict) -(S+a}t Um coskt e S+a sinkt. ēGta)t dt S+a if bm ft)=0 and g) We know that is beuided then -(sta)t Lim e Нете = im And coskt betndo d on IR. |coskt| | TS for all t elR

Ans 1- Prove L{et coskt} = S+a We Know that ast Hen L{eat.coskt}= fat at coskt dt -st-at • coskt dt (Sta)t dt - (1) let --(S4)t e I= . cos kt dt -(2) Coskt by usng frmula integaadion f two functions - (sta)t Lim Coskt. e - Coso. e Sensmet) - (s+4}t dt -(s+a) -ksinict) -(S+a}t Um coskt e S+a sinkt. ēGta)t dt S+a if bm ft)=0 and g) We know that is beuided then -(sta)t Lim e Нете = im And coskt betndo d on IR. |coskt| | TS for all t elR

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 24E
See similar textbooks
icon
Related questions
Question

(1) how did you come up with the solution? PLEASE EXPLAIN IN DETAIL because I'm going to make a script out of it

Then -(Sta)t coskt. e Lim Then I= -_ Sta [o -1] -K Teeta)t • Sinkt dt Sta - (S44) t0 •e d Sinkt) K Sta - (sta) (St4)t Sinkt. e sino. e Sta Sta K. coskt -(sta) FP 2. -(Sta)teslet dt -L+K_ (o-0) - K (S+aj2 Sta using (3) Since, Sinkt is also bounded on IR |Sinktl <1 for all teIR - I= Sta +o (s+a)2. K2 I = 6+4)2 S+9 => I(1+ _k² S+a (S+a)2 S+a (S+9)2 s+a) From ) and (2), we get S+a Hence proved (S+a)2 + K2
Transcribed Image Text:Then -(Sta)t coskt. e Lim Then I= -_ Sta [o -1] -K Teeta)t • Sinkt dt Sta - (S44) t0 •e d Sinkt) K Sta - (sta) (St4)t Sinkt. e sino. e Sta Sta K. coskt -(sta) FP 2. -(Sta)teslet dt -L+K_ (o-0) - K (S+aj2 Sta using (3) Since, Sinkt is also bounded on IR |Sinktl <1 for all teIR - I= Sta +o (s+a)2. K2 I = 6+4)2 S+9 => I(1+ _k² S+a (S+a)2 S+a (S+9)2 s+a) From ) and (2), we get S+a Hence proved (S+a)2 + K2
1 Ans Prove L{Et coskt S+a We know that L{ftt}= Sest f4) dt Then Leat.coskt} = ft ent.coskt dt -st -at e • coskt dt -- () Let -(Sta)t e I= cos kt dt - (2) as -(S+ajt Coskt by using fermula indegadion f two functions -(sta)t - coso. i Lim Coskt.e (S+a) ltj :(s+a}t dt -(Sta) k sinict) e -(Stajt Ix] Lim coskt e Sta sinkt. ēst)t dt S+a and g Um ft)=0 if too We know that is bounded then Lim fCt).glt) = o -3) -(sta)t Lim e = Lim t - Here on IR. Icoskt|<1 for all t eIR And coskt beundo d
Transcribed Image Text:1 Ans Prove L{Et coskt S+a We know that L{ftt}= Sest f4) dt Then Leat.coskt} = ft ent.coskt dt -st -at e • coskt dt -- () Let -(Sta)t e I= cos kt dt - (2) as -(S+ajt Coskt by using fermula indegadion f two functions -(sta)t - coso. i Lim Coskt.e (S+a) ltj :(s+a}t dt -(Sta) k sinict) e -(Stajt Ix] Lim coskt e Sta sinkt. ēst)t dt S+a and g Um ft)=0 if too We know that is bounded then Lim fCt).glt) = o -3) -(sta)t Lim e = Lim t - Here on IR. Icoskt|<1 for all t eIR And coskt beundo d
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer