thẻ identity algebraically. Use the table feature of a graphing utility to check your 1 + sin(0) cos(0) cos(e) 1 + sin(0) 2 sec(0) %3D 1 + sin(0) cos(0) cos(0) 1 + sin(0) + cos?(8) cos(0)(1 + sin(0)) D+ sin?(@) + cos²(@) cos(0)(1 + sin(0)) 2 + cos(0)(1 + sin(0)) %3D cos(0)(1 + sin(60)) cos(0) 2 sec(0) %3D %3D

Q: sin(e)de 4+cos (e) In(4+cos'(e)) +c -sinh -sinh cos (0) sinh (cos (0)) +c 2/4+cos (0)

A: Use the substitution method and integrate the given expression.

Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: (3) Proving that sin?(x) + cos (x) = 1: d. (a) Show that -(cos² (x)+ sin (x)) = 0. What does the…

A:

Q: sin 0- cos 0+1 sin0+1 (c) sin 0+ cos 0-1 cos 0

A: Given: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: 6 sin(x) + 2 cos(x) = 0

A: We are given trigonometric equation as

Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

A:

Q: 3 sin° x -dx Evaluate ' cos° x

A:

Q: Using trigonometric substitution to solve: f cos x dx 3 (4-sin²x)2 11

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Q: sin (3æ) cos (4æ)dx 1 -cos (72) + cos (-a) + C 1 1 1 -cos (7x) + 14 -금in (7z) + 글sin (- 14 2 O A 1 1…

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Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: 11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x

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Q: Right, or wrong? Give a brief reason why. sin (x²) x cos (x²) – sin (x²) dx х x²

A: We will try to differentiate the right side and check if we get the expression inside the…

Q: Establish each identity given in attachment.

A: Given equation: asinθ+bcosθ2+acosθ-bsinθ2=a2+b2

Q: cos e cos 0-sin² 0 csce 5. csce-tan e II

A:

Q: sin(1+ cos(0)) Find lim 1+ cos(0) Select one: О a. -1 O b. 1 Oc-2 O d. 2

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Q: cos x = 1/2 Find x

A:

Q: How do you solve this and can you show me step by step?

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Q: 1+ Cos(x)- Cos (x) Sin(x) + Cot(x) Sin(x)

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Q: sin a 4. lim I 1+ cos3 x

A:

Q: Evaluate the limit.

A: Given that, limh→0sin(2h)(1-cos h)h2 Because of the direct substitution of h = 0 into this, we get…

Q: Find the limit.

A: Use the formula cosθ+ϕ=cosθ cosϕ-sinθsinϕ to simplify the term cosπ+∆x. Here θ=π and ϕ=∆x.…

Q: cos² (1 – cos?(1 – cos² (1...cos² 0)).....) cos“ (1...cos´ 0)).....) - - Evaluate lim TT (/0 + 4 sin…

A: Introduction :

Q: cos e+1 csc e 3. 3. sin 0 1- cose

A:

Q: A. Using trigonometric identities 1. S sin53x(cos 3x)-2/5dx 2. S cot5 2x csc-4 2x dx

A:

Q: sin(x) is The solution for lim 1- cos(x) O 1 O DNE

A:

Q: 102. a. Graph y = sin3xcos 2x – cos 3xsin 2x on the interval [0, 27). What simpler function y = f(x)…

A: Here we have to plot the graph y=sin3xcos2x-cos3xsin2x  on interval 0,2π

Q: 3x2 sin(x³) Select one: а. In/tan x3 + cot x³| + c b. -In csc x3 + cot x³| +c С. с. In|sec x3 +tan…

A:

Q: cos cos 30 - cos 50 lim- 0>0 s 70 - cos 90 cos

A:

Q: lim_cos-(x – V3) 3. V3 X→- 2 (express answer in radians)

A: To evaluate: The limit limx→32cos-1x-3. Calculation: The value of limit limx→32cos-1x-3 can be…

Q: 4 cos x+ cos x= sin "x- 4 2. sin x

A:

Q: Which one is correct, and which one is wrong? Give reasons for your answers. x? – 2x 2r – 2 a. lim…

A: Limit: a.    x→0limx2-2xx2-sinx         [≡00form]=x→0lim2x-22x-cosx=-2-1=2So a. ans is wrong.

Q: Cycloid arch: x = a(0 – sin 0), y = a(1 cos 0) - -

A:

Q: 4. y= cos“ x, 0,27| Note: y'=-2sin x cos x, y"=2 sin? x-2 cos x

A: if the limit of the function (one-sided) at this point is infinite then the line x=a is a vertical…

Q: 7. lim a sin(1/a) = %3D a-0+

A: Given lima→0asin1a

Q: 7. I. csc e - Cos 0 cot 0 = sin 0 II. (sin 0- cos 0)² = -1 COS %3D

A: Given that I. csc θ-cos θ cot θ=sin θ II. (sin θ-cos θ)2=-1

Q: 5. (cos" x- y cos x) dr - (1 + sin x) dy =0

A:

Q: HW: (1) Prove that: cos'e (a) 1- tan'e 1-cot' @ sin'e -1, (b) tan'0.cos' 0 + cot³ 0.sin³ 0 -1

A: The detailed solution is as follows below:

Q: X+1 1-x Select one: a. sin-1(x)-V1-x² +c www. O b. sec-(x)-V1-x? + c C. tan (x)-V1-x2 + C d. cos x)…

A:

Q: 4 sin x cos x + 2 sin x - 2 cos x - 1 = 0

A: first factorize the given equation and than split two product equation  detailed solution is given…

Q: (7-cos"(x) cos(x) sin(x) e dx = A) 7 ese(x) +esla(x) +C B) 7 sin(x) -x+etincx) + C C) other

A:

Q: 1. Using Half Angle Substitution cos x dx Find= S 2-cos x

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Q: 5. sin 2 x=cos X

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Q: Sin'0+ Cos 0 =-(Cos40+ 3) 4 %3D

A:

Q: 1 + cos X 1 - cos X

A: We are given with fraction need to evaluate.

Q: ´1-cos x 1-cos³ 11. lim sin? x

A: The given data is limx→01-cos3xsin2x Here we use L-Hospital's rule and the L-Hospital's Rule states…

Q: Find the limit.

A: We have to find the limit: limθ→0cos θ-1sin θ This is 00 indeterminate form so we can apply L'…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.