Question 6 Obtain the general solution to (D? + 1)y= secxcscx O y= C,cosx + C,sinx- cosxin|secx + tanx| + sinxin|cscx + cotx| O y= G, cosx + C,sinx- cosxin|secx + tanx| - sinxin|cscx + cotx| O y= C; cosx + Czsinx- sinxin|secx + tanx| -cosxin|cscx + cotx| O y= C,cosx + C2sinx + cosxin| secx +tanx| + sinxin| cscx + cotx|

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

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A: The auxiliary equation

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

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Q: Differentiate. Fx) = 7V sin(x) f '(x) = Need Help? Read It Submit Answer Practice Anoth 2. -/1…

A: Solving Q1 Given:

Q: 3. V2 C T. V2 V2 3 10. sin B =[Select ] 11. cos B = [ Select ] 12. tan B = Select] - -13

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Q: tan 2x sec 2x dx Evaluate cos 2x O 1 ,tan 2x e + C 2 2 e tan 2x + C O -2 e sec 2x + C 1 ,tan 2x + C…

A: ∫etan2x sec2xcos2x dx=∫etan2x sec2x sec2x dx     ∵secx=1cosx=∫etan2x sec22x dx Now put,…

Q: sec^2 y - tan^2 y = sin^2 y + cos^2 y

A: Consider the trigonometric identities mentioned below.

Q: 21 csc' x 8. - (csc' x-1)" dx (simplify: cot' x+1= csc² x) 1 +C = tan"(x)+c ans : %3D 21 cot“ (x)

A: you can clearly understand if you follow the below solution

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Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

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A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

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Q: how to find cos z using, cos^2x +cos^2 y+ cos^2 z=1     where x = 45deg  and y = 60deg

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Q: If, Sec t-1/sec t +1 = A-cos t/A+cos t Then A =

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A: Given integral I=∫ sin8(3z) cos5(3z)  dz

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Q: Ir x²y" + xy' + (x? - +>v =0 x >0 || | 1 - 2 sinx ,V1=X the following equations satisfied by v and y…

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Q: 2. Show that cot x cos* x +C 4 cscx csc x | cot? x csc*x dx = - 6. 4 6.

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Q: fa 79 COS nX COs mxdx

A: 2CC=C+C2cos nx cosmx          =cosx(n+m)+cosx(n-m)I=∫02π cosnx cosmx  dxI=12∫02πcosx(n+m)+cosx(n-m)…

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Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…