26. What is the solution for the equation 29. It is the below? inc u = (sin r)(sin² 2u) Ce G be (a) cot 2u: = I - sin COS I + C (b) sec 2u cot 2u = sin r cos r -x+C (c) 2 cot 2u = sin r cos r- r +c (d) cot 2u sin 2r - x+ C %3| (e) None of the above 30

Q: 2. One of (a)-(c) is incorrect. Find and correct the mistake. (a) - sin(y³) = 2y cos(y?) (b) dx…

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Q: 2 1. (2{cos z = (2(com(금)+i sin())" ti sin( - 3 3 1+v3i 2.

A: Solution 1: Given 5∠π42 Here…

Q: find an equation of the tangent line to the curve at the given point. y=2xsinx, (pi/2, pi

A: Given curve is y=2xsinx. Given point is π2,π. Differentiating the given curve with respect to x, we…

Q: 7/4 Find the value of sin(2x) sin(x) dx.

A: First i have made a substitutionso that integral become easy and then integrate them and find the…

Q: 2 3) Find the general solution to y' = sec x. 4) Find the particular solution to y' = sec x tan x…

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Q: 2. i) Find in radians the values of x in the interval 0°0 and 2 is and acute angle. Hence find the…

A: The problems with the trigonometric functions for value of x can be solved using the trigonometric…

Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0

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Q: sin 2x, Which of the following is equal to sin x cOs x + C 2 sin x + C Option 1 Option 2 sin 2x + C…

A: As we know that the trigonometric identity: sin2x=2sinxcosx And ∫a·fxdx=a∫fxdx Given: I=∫sin2xsinxdx

Q: 2. 5. xcos x (sin'x - 2sin'x + sin°x)(cosx)

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Q: 3. For y = 3 sin x + 21, the third order derivative (a) -3 cos z +21 (b) -3 cos r 4. For y = e-2-50,…

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Q: 7/2 S 3 cos (x) sin°(æ) dx =

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Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: 1. The expression sin(x +y) +sin(x-y) is equal to A. 2 sinx siny B. 2 sinx cosy C. 2 cosx siny D.…

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Q: 10. y= (2x) 11. y=さ+回 cos.x+cos x 12. y= 9. y= 2secx 2 13. y= |2x+1| 3x+x| 14. y = sin x 16. y= cos…

A: 12)

Q: Explain why the equation cos x = x has atleast one solution

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Q: we want to solve the following ode by the variation of parameter method; y"+y=secx general solution…

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Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: 3 r = sin 0 + 6 cos 0 О За? + (у — 3)? —— 1 %3D 6æ² – (y – 3)² = 1 D y+6x = ! 1 3. Dy+6x = 3 у+ 3х —…

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Q: 4 5 Points ntegral of sin-cos-sin0 de has the form (e) +C. What should be the value of e =0?

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Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: 4 sin"t- cos *t= sint- cos 4 2 2

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Q: 25. y = 2 cos yA 2 28. y = 2 sin ) -2TT -2 31. y = 3 sin (2x) (A)

A: In this, the amplitude is multiplied by 2 and x is scaled by 1/2.

Q: 16. Eliminate 0 from the following equations : and y = b.Sec0 i) x= a.Csc0 ii) x= Sin0+ Cose and y =…

A: we use Trigonometry identities to eliminate parameters from equations

Q: the sum of sin h 2x and cos h 2x

A:

Q: 11. Find if y= cos(x) A. 2x sin(x) B. -x sin(r) 12. Differentiate: y=x cscx A. y' = cscx(1+x cot x)…

A: we have to differentiate the given equation . y=ex3

Q: 1. S 2x sin-1 x² dx. 2. S sin² 20 cos³ 20 d0. 3. S sec? x dx V1-tan?x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is the general solution of (sine – 2rcos0) dr + reos0 (2rsind + 1) d0 = 0 Orcose + r? sin² 0 =…

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Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: 5. What is the appropriate second equation to solve number 4? A: v,'sinx + v,'cosx = 0 v,'(-cosx) +…

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Q: 12. Given that V3 cos x = cos(-x), tan x= A 3. cos(f B V3 C 1. V3

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Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: 12. Which is not a solution to the equation sin x = cos x-1? %3D A. x = 1 B. x == C. x = 3n 13.…

A: We will find the correct options for each question as following.

Q: cos(x) + s(3x)+ 25 cos(5x)+..) 4 Ans. + sin(x)- sin(2x)+ sin(3x)– ...

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Q: What is 1-1] 2s – 3 2s +2 A. -2 cos 2t-3 sin 2t В. sin 3t V3 cos 3t 3 cost--sint 2 C. D. -2cosh 2t…

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Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: 2) Solve for r; 0 < x < 2n. cos r + sin r tan r = 2

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Q: simplest form 1. y=csc 5x 2. y = cos x – 2tan x sin x 3. y = 1+cosx 4. y = 5 cot( 2 – 3x) 5. у%3D…

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Q: 8:14 PM Mon Feb 28 - 53% T O + : b = 2UT6 生))+()-号) =(-$)(-)+(學)量 b=4 65 25 - 3 (85) COS S = and cos…

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Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: V3 f. sin(2x) 2 tan(x) = 1

A: Solve the problem within the domain first find the inverse and then solve.

Q: (9) ſ cos(x²) 2xdx sin x? + c cos x2 + c Option 1 Option 2 sin 2x + c

A: We will substitute  x2 = t

Q: 6. sin x (1 + sin x cos x) dx y csc² ( tan (y²)) dy 7. cos²(y²) sec (11w) tan (11w) V (2 – sec…

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Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

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Q: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

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Q: 1) B = cos 30 + sin² 0 tan 2x 2) y = 1-cot 2x 3) w = 2 csc(1 – 3x)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 0

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Q: 5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) =…

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Q: Find sin' (2r)dz . - 능 cos"(2z) 글 cos (2x) + - cos (2x) + c Check your variables - y

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Q: After differentiating the last expression we obtain that 1 C(y) = sin 3y. Hence, we get 1 1 sin…

A: Given that, Cy=13sin3y                   1 and after differentiating the last expression, we get…

Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.