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26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx y-2x cos y 2 cos 2y- sin y-z y'(-a sin y+2 cos 2y-a) =y- 2x cos y y' 27 11- (1 -1)-1

26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx y-2x cos y 2 cos 2y- sin y-z y'(-a sin y+2 cos 2y-a) =y- 2x cos y y' 27 11- (1 -1)-1

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 23E
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How do you get the y' and 2y' in number 26

V> F. %23 28. 2 sec 20 |(1+tan 20) tan 20- sec 20 (1+tan 20)2 (1+tan 20)² 2 sec 20 (tan 20 +tan 20- sec2 20) (1+tan 20)² 2 sec 20 (tan 20 -1) (1+tan 20)2 1+tanz= sec² z] 26. (z cos y+ sin 2y) =(ry) z°(- sin y · y') + (cos y)(2z) + cos 2y - 2y' = z - y' + y · 1 → (ry) x(-sin y · y')+ (cos y)(2x)+ cos 2y - 2y' = x - y' +y·1 = %3D y-2x cos y '(a² sin y+2 cos 2y-) y- 2r cos y y' | %3D 2 cos 2y - sin y -a 27. y = (1--1)-1 = y = -1(1-#-1)-2-(-lz-2)] = -(1-1/z)-2x-2 =-((x-1)/피)-z-2=-(z-1)-2 28. y = %3D 29. sin(ry) = 2 -y = cos(ry)(xy' +y 1) = 2z- y z cos(xy)y' + y' = 2z – y cos(zy) > %3D y [x cos(ry)+ 1] = 2x-y cos(ry) = y = 2x-y cos(ry) x cos(zy) +1 prt sc impr.écr. home début F3 F4 F5 F7 F8 & V $. 2. 3. 6. 8. 5. T. K G. C.
Transcribed Image Text:V> F. %23 28. 2 sec 20 |(1+tan 20) tan 20- sec 20 (1+tan 20)2 (1+tan 20)² 2 sec 20 (tan 20 +tan 20- sec2 20) (1+tan 20)² 2 sec 20 (tan 20 -1) (1+tan 20)2 1+tanz= sec² z] 26. (z cos y+ sin 2y) =(ry) z°(- sin y · y') + (cos y)(2z) + cos 2y - 2y' = z - y' + y · 1 → (ry) x(-sin y · y')+ (cos y)(2x)+ cos 2y - 2y' = x - y' +y·1 = %3D y-2x cos y '(a² sin y+2 cos 2y-) y- 2r cos y y' | %3D 2 cos 2y - sin y -a 27. y = (1--1)-1 = y = -1(1-#-1)-2-(-lz-2)] = -(1-1/z)-2x-2 =-((x-1)/피)-z-2=-(z-1)-2 28. y = %3D 29. sin(ry) = 2 -y = cos(ry)(xy' +y 1) = 2z- y z cos(xy)y' + y' = 2z – y cos(zy) > %3D y [x cos(ry)+ 1] = 2x-y cos(ry) = y = 2x-y cos(ry) x cos(zy) +1 prt sc impr.écr. home début F3 F4 F5 F7 F8 & V $. 2. 3. 6. 8. 5. T. K G. C.
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