Explain the difference in the appearance of the answers obtained in sin³ x cos³ x dx = 4 sin* x sin x +C = 6 cos* x cosx +C 4

Q: sin:

A: This question is based on Partial diffrentiation.

Q: The expression sin(3z) cos (2z)- cos (3) sin (2z) is equal to cos (5z) sin z cos z O sin (5z)

A: Trigonometry Addition Formulas The following are the trigonometric addition identity formulas for…

Q: Show that 0=30° is a solution to (sin 0)sine 4. 1 5/-

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Q: Find all the solution to 3(1-cos theta )=1-cos^2 theta

A: Our Aim is to find the solutions to 3 1-cosθ=1-cos2θ - (i)

Q: 5. Show that cos (sin 2x) + sin (cos-1 2x) = (V2-2x)(VZ+2x) -

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Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x -…

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Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: verify the results  sin 4x = 8 cos3 x sin x − 4 cos x sin x  tan2 x =1−cos 2x/1+cos 2x

A: To prove: sin 4x = 8 cos3 x sin x − 4 cos x sin x Proof: Since sin2x = 2sinxcosx sin2(2x) =…

Q: tan(2x) O 1+ cos(4x) sin(4x) O cos(4x) – 1 sin(4x) O 1- cos(2x) sin(2a) sin(4x) 1+ cos(4x)

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: The suitable substitution to evaluate / sin²4(x +2) dx is (1- cos8(r + 2)] [1+cos8(x+2)] None 1 [1-…

A: We have to find the suitable substitution to evaluate the following integral -  ∫sin24(x+2) dx

Q: Solve 2 sin2 4x − 2 cos 4x = 1 if 0° ≤ x < 360°.

A:

Q: Approximate all solutions to 8.cos(x)2 –6.cos(x)+1 in the interval [0°,360°) X= degrees Round your…

A: The given equation is quadratic in cosx.

Q: simplify a. sin^2(3x)+cos^2(3x) b. cos^2(3x)-sin^2(3x)

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Q: tan(2x) = O cos(4x) – 1 sin(4x) COS O 1+ cos(4) sin(4x) O 1- cos(2) sin(2x) sin(4x) 1+ cos(4x)

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Q: is there a proof that cos^2t +sin^2t=x^2 + y^2 =1 ? if there is , how?

A: To prove the below statement Consider a right angle triangle as shown below

Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

A:

Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx

Q: how does    2+2cos x                     sin x (1+cosx)     turn into     2(1+cos x)…

A: Given data is : How does 2+2 cosxsinx 1+cosx turn into 21+cosxsinx 1+cosx

Q: Which of the equations can be used to find the value of x A) Cos 30= x/5 B) Tan 30= 5/x C) Sin 30=…

A: Given,

Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е.…

A:

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

Q: Solve 4 tan x * cos^2 x = 1 for 0 ^ 0

A:

Q: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: tion for sin x= 0.3

A:

Q: How do I find all values of x in the interval [0, 2?] that satisfy the equation 4 sin(2x) = 4 cos(x)

A: Given,           4sin2x=4cosx

Q: 2 sin² x+1 cos? x +1.

A:

Q: 8. Simplify: cos(5x) cos(2x) + sin(5x) sin (2x) B) sin (5x) cos (7x) C) sin(3x) D) cos(3x) CoS

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Q: Place these trig equations into general form: 1. y = sin (3/2x + 3π/2) + 5

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2. Explain why (sinx – 2)(cosx + 2) = 0 has no solutions.

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Q: Express f (0) = cos 20 + 4(sin 20)² + 1 as a sum of powers of sin 0.

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Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

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Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.

Q: Approximate all solutions to tan(4 x)2 – 2 tan(4 ·x)– 35=0 in the interval [0°,360°) |degrees X=…

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Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

A:

Q: Approximate all solutions to tan(x)2 +4 tan(x)– 21=0 in the interval [0°,360°) X = |degrees Round…

A: We have to find

Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: Given: sinπ4+π2 To find: expand the given trigonometric expression. The formula for…

Q: How many distinct solutions does the equation 2 sin 2x = - -V3 have in the range [ 0°, 360° )? Enter…

A: To find the distinct number of solution does the equation 2 sin2x=-3;    x∈[0°, 360°)

Q: Recall that sin2 0 means (sin 0)². find sin2 0. If sin 0 = sin< 0 =

A:

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

Q: The suitable substitution to evaluate | sin 4(x+2) dx is None (1- cos8(x +2)] [1- cos4(x + 2)]…

A: Given that: ∫sin24(x+2)dx

Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

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Q: cosh(3i)is equal to O -cos3 O cosh 3 cos 3 O sin 3

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Q: Solve for [0, 2T1]. -Cos (7x) + cos x = -Sin(3x) COs + coS x -sir

A: Given equation is By using the formula we get

Q: Show that, for real values of x, 3 sin x f(x) 2 + cos x cannot have a value greater than 3 or a…

A: To show that the minimum and maximum value of the function is -√3 and √3

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos^2x using identities?   −1   2   1…

A: The given expression is .sin4x-cos4xsin2x-cos2x Use identities a2-b2=(a-b)(a+b), where a and b are…

Q: Show that 4 sin x cos 2x + 3 = 8 cos %3D x.

A: We will use the formula of cos 2x and other formulas of trigonometry to prove left hand side is…

Q: Verify the identity. sin 3x 1 = 2 cos x- %3D sec x 2 - sin 2x

A: Given: Verify the identity sin3xsin2x=2cosx-12secx for verifying given identity we solve left hand…