math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor...

9

Transcript of math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor...

Page 1: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 2: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 3: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 4: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 5: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 6: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 7: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 8: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k
Page 9: math.byu.eduvianey/Math303/Classes/Sect2_1.pdf · —cost + Sid c CUR ado in 9eneØC înc/ factor (g) and sob Sin x b, (Sinx) Sin X — (5ìnŸ) Cos X Sinx $nzx cos x Sin k

17April Diff Equations Diff Equations.pdf(D2+2D+2)y = x2+sinx The auxiliary equation is D2+2D+2- having characteristic roots D -- The complementary function is e (Cl cos x + C2 sin

17April Diff Equations Diff Equations.pdf(D2+2D+2)y = x2+sinx The auxiliary equation is D2+2D+2- having characteristic roots D -- The complementary function is e (Cl cos x + C2 sin

 · cot 9 = adj adj 1350 1800 2100 adj opp Circular function definitions, where Ð is any angle. sin x — CSC x cscx — sin x sin x tan x — cos x sin = cos e = tan Ð tan x —

 · cot 9 = adj adj 1350 1800 2100 adj opp Circular function definitions, where Ð is any angle. sin x — CSC x cscx — sin x sin x tan x — cos x sin = cos e = tan Ð tan x —

eisenhowermath.weebly.comeisenhowermath.weebly.com/uploads/1/3/3/7/13377808/lesson_5.3.pdf2sin2x — sin x — 1 = 0 2(sinx)2 —sin x —1 = 0 Quadratic in sec x sec2x — 3 sec x—

eisenhowermath.weebly.comeisenhowermath.weebly.com/uploads/1/3/3/7/13377808/lesson_5.3.pdf2sin2x — sin x — 1 = 0 2(sinx)2 —sin x —1 = 0 Quadratic in sec x sec2x — 3 sec x—

Formula Sheet€¦ · 2 cos2x = cos2 x!sin2 x =1!2sin2 x = 2cos2 x!1 Formula Sheet Reciprocal Identities: cscx = 1 sinx secx = 1 cosx cotx = 1 tanx Quotient Identities: tanx = sinx

Formula Sheet€¦ · 2 cos2x = cos2 x!sin2 x =1!2sin2 x = 2cos2 x!1 Formula Sheet Reciprocal Identities: cscx = 1 sinx secx = 1 cosx cotx = 1 tanx Quotient Identities: tanx = sinx

Calculus Chapter 2 Derivatives Section 2.1 … of Sine and Cosine • y = sin x y’ = cos x • y = cos x y’ = -sinx Equation of the Tangent Line at a Point • Step 1: Find the

Calculus Chapter 2 Derivatives Section 2.1 … of Sine and Cosine • y = sin x y’ = cos x • y = cos x y’ = -sinx Equation of the Tangent Line at a Point • Step 1: Find the

Graphs of Trig Functions. y = sin x Max sin x = 1 when x = 90° Min sin x = -1 when x = 270° Graph of y = sin x.

Graphs of Trig Functions. y = sin x Max sin x = 1 when x = 90° Min sin x = -1 when x = 270° Graph of y = sin x.

Review Test4 (Math1650:500) Instructor: Koshal Dahalmath.unt.edu/~koshal/SYLLABUS/Math1650_Spring_015/Test4 Review.pdf1 cosx sinx sinx 1 cosx a. 2 sin x b. cos x c. sin x d. 2 csc

Review Test4 (Math1650:500) Instructor: Koshal Dahalmath.unt.edu/~koshal/SYLLABUS/Math1650_Spring_015/Test4 Review.pdf1 cosx sinx sinx 1 cosx a. 2 sin x b. cos x c. sin x d. 2 csc

Proof of sinx/x

Proof of sinx/x

Fabrication of SiNx Thin Film of Micro Dielectric Barrier ... · Fabrication of SiNx Thin Film of Micro Dielectric Barrier Discharge Reactor for Maskless Nanoscale Etching ... x film

Fabrication of SiNx Thin Film of Micro Dielectric Barrier ... · Fabrication of SiNx Thin Film of Micro Dielectric Barrier Discharge Reactor for Maskless Nanoscale Etching ... x film

--Pc1-e-DTP Backup 18-02-2009-2 · 4 Mahesh Tutorials Science 8) sin x + cosec x ∫ tanx dx Ans. = 1 sin x + sin x sinx cosx ∫ dx = 2 2 (sin x + 1) sin x ∫ cos x dx = cosec x

--Pc1-e-DTP Backup 18-02-2009-2 · 4 Mahesh Tutorials Science 8) sin x + cosec x ∫ tanx dx Ans. = 1 sin x + sin x sinx cosx ∫ dx = 2 2 (sin x + 1) sin x ∫ cos x dx = cosec x

ANALYTIC TRIG!!!!!!!. Trig Identities sin^2x + cos^2x = 1 tan^2x + 1 = sec^2x 1 + cot^2x = csc^2x sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx.

ANALYTIC TRIG!!!!!!!. Trig Identities sin^2x + cos^2x = 1 tan^2x + 1 = sec^2x 1 + cot^2x = csc^2x sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx.

topical - Math -HL-Answer-2011-2017- Circular trigonometry filesin — cos 3xsin x sm x cosx sin (3x — x) sin 2x OR sin 2x cosx + cos 2x sin x smx 2 sinxcos2 x +2cos2 xsinx sinx

topical - Math -HL-Answer-2011-2017- Circular trigonometry filesin — cos 3xsin x sm x cosx sin (3x — x) sin 2x OR sin 2x cosx + cos 2x sin x smx 2 sinxcos2 x +2cos2 xsinx sinx

papercollection.files.wordpress.com€¦ ·  · 2008-10-17eXdx,v— fez dx = ex e' sinxdr sin x — [e' cosx+ fez sin xdv]+c ex sin x ex COSx— Jex sinxdx + C 2 sin xdx = ex (sinx

papercollection.files.wordpress.com€¦ ·  · 2008-10-17eXdx,v— fez dx = ex e' sinxdr sin x — [e' cosx+ fez sin xdv]+c ex sin x ex COSx— Jex sinxdx + C 2 sin xdx = ex (sinx

 · -2 ò. Ah x ? SihF[0JX - —Q Sin? Y — Sin? x Sn2x -- 1 t T AGG c9_ Sin X Sin [X 2 x-L 5th 2K bic (10)

 · -2 ò. Ah x ? SihF[0JX - —Q Sin? Y — Sin? x Sn2x -- 1 t T AGG c9_ Sin X Sin [X 2 x-L 5th 2K bic (10)

wangsajaya.files.wordpress.com...cos x — sin x (A) I — cos 2x (B) I — sin 2x I + cos 2x I — cos 2x 1+2 sin x (D) I — 2 sin x I + sin 2x (E) 1 — sin 2x Halaman I dari 9

wangsajaya.files.wordpress.com...cos x — sin x (A) I — cos 2x (B) I — sin 2x I + cos 2x I — cos 2x 1+2 sin x (D) I — 2 sin x I + sin 2x (E) 1 — sin 2x Halaman I dari 9

11 th grade Trigonometry Ms. Kavanaugh Remember: Tan x = sinx/cosx.

11 th grade Trigonometry Ms. Kavanaugh Remember: Tan x = sinx/cosx.

Using our work from the last few weeks, work out the following integrals: 1. cosx dx 2. sinx dx 3. cos3x dx 4. sin3x dx 5. sin 2 x dx 6. cos 2 x dx Why.

Using our work from the last few weeks, work out the following integrals: 1. cosx dx 2. sinx dx 3. cos3x dx 4. sin3x dx 5. sin 2 x dx 6. cos 2 x dx Why.

Answers Part -II · 37. 1 1 4 cos(tan ) C 4 ... cos cos C 6 4 x x− + 6. 1 4 1 6 6 1 4 4 1 2 cos cos cosx x x− − 2 +C 7. 1 2 1 4 4 1 12 sin sinx x− 12 ...

Answers Part -II · 37. 1 1 4 cos(tan ) C 4 ... cos cos C 6 4 x x− + 6. 1 4 1 6 6 1 4 4 1 2 cos cos cosx x x− − 2 +C 7. 1 2 1 4 4 1 12 sin sinx x− 12 ...

MACLAURIN SERIES...MACLAURIN SERIES No peaking !!!!! See if you can do the following: fx Power Series Expansion: 1 1 1 x 2 1 1 x 3 2 1 1 x 4 3 1 1 x 5 tan 1x 6 sinx 7 cosx 8 sin x2

MACLAURIN SERIES...MACLAURIN SERIES No peaking !!!!! See if you can do the following: fx Power Series Expansion: 1 1 1 x 2 1 1 x 3 2 1 1 x 4 3 1 1 x 5 tan 1x 6 sinx 7 cosx 8 sin x2

> plot(cos(x) + sin(x), x=0..Pi); plot(tan(x), x=-Pi..Pi ... · > plot3d({sin(x*y), x + 2*y},x=-Pi..Pi,y=-Pi..Pi); ↵ c1:= [cos(x)-2*cos(0.4*y),sin(x)-2*sin(0.4*y),y]: ↵ c2:= [cos(x)+2*cos(0.4*y),sin(x)+2*sin(0.4*y),y]:

> plot(cos(x) + sin(x), x=0..Pi); plot(tan(x), x=-Pi..Pi ... · > plot3d({sin(x*y), x + 2*y},x=-Pi..Pi,y=-Pi..Pi); ↵ c1:= [cos(x)-2*cos(0.4*y),sin(x)-2*sin(0.4*y),y]: ↵ c2:= [cos(x)+2*cos(0.4*y),sin(x)+2*sin(0.4*y),y]: