Show that (1 – e") = 2 sin ( - a eil(a-r)/2]

Q: If sin' 0+y cos e sin e cos e and x sin e = y cos 6, prove that x + y* = 1.

A: Solution

Q: The value of 1 cos (tan ¹y) + y sin (tan¯¹y) cot (sin¯¹y) + tan (sin¯¹y) is......... +y¹

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Q: tan e de (1+ In cos ele

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Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

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Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: express sin 0 and cos 0 in terms of t. 2 6. By using t = tan Hence,

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

Q: The approximation of I = = co cos (x²+5) dx using simple Simpson's rule is:

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

A: Given

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

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Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: (a) Show that the equation cos rdr + (1+ -(+)- sin rdy = 0 is not exact.

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Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: Compute and * for the equation sin(x)e +2z²y = cos(z). 4xz COS ду

A: sinxe4xz + 2z2y = cosz∂z∂x = ?∂z∂y = ?   While calculating ∂z∂x  variable y will be considered as…

Q: Find sin 4.x cos 8x dx.

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Q: dt cos (2 sin 21) /1– 4r

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first…

Q: find the value of so that ky"=-1 at y=. 6. For cos x- sin y=-

A: On solving this by doing differentiation implicitly we get

Q: dr de sin - r- cos + eª cos = 0

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Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

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Q: Use differentials to approximate the value of cos 29°.

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Q: b) Is S cos4xv2 – sin4x dx = V(2 – sin4x)³ + C true or false? show me %3D

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Q: (1 + cos 7t) 2 sin 7t dt

A: Here we use u-subsitution to evaluate the integral. d(cosx)dx= -sinx

Q: The integral So (cos(3x))² sin(3x)dx under the change of variable u = cos3x becomes - ov 29 9/29 u?…

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Q: at æ = 0 for 12 sin(t)dt.

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Q: Evaluate the integral ∫sin (2t + 1)/cos2 (2t + 1) dt

A: Given information: ∫sin2t+1cos22t+1dt

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: Excrcise 3. Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

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Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Given integral is We will evaluate the integral by substitution method.

Q: ) Find | sin can) cas (ga)da cos (gx) dx

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Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

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Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: Given the integral sin(3x + 5) dx cos(3x + 5)

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Q: 13T (b) sin-(sin(- -)) = %3D 11

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Q: TC 4. sin(2x) cos(2x) dx

A: To evaluate the definite integral

Q: _5. In the equation y = sin-1 x, if = , then y= TC %3D %3D %3D

A: 5. In the equation y=sin-1x , if x=12 , then y=π6. The given statement is True, The reason regarding…

Q: Find the trigonometric integral ∫cos3( x − 1) dx

A: Find the trigonometric integral ∫cos3( x − 1) dx

Q: The answer of integ ra Ssinzx cos3% dX

A: We have to evaluate the given integral.

Q: Compute L {sin(2t)e"}.

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Q: 1. / cos" (2t) sin² (2t) dt

A: 1.

Q: Why is I cos 0 |never greater than 1 in the first place?

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Q: 4. Prove that the identity is true. 1- cost e = sin² 0 1+ cos e

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Q: "+25y 4r sin(51) – 2e" cos(5t)

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Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx

Q: b) Is S cos4xV2 – sin4x dx (2 – sin4x)³ + C true or false? show me

A: this is false because

Q: Use a computer algebra system  to find  integral sin 5 x cos 2 x   dx

A: To find the integral

Q: In sine sin -1x os (sin-!x) + C cos V1-x? 1-x² A) True В False

A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.

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.