Use the half-angle formulas to simplify the expression. 1- cos(x – 3) 2

Q: r= 2- cos(20)

A: To draw r=2-cos2θ

Q: |0 cos T0 do

A:

Q: Select the correct answer. What is the domain of y = cos(x)? A. (-00, 00) В. 2т OC. (0, 0) O D. [-1,…

A: Given : y=cos(x)

Q: Rewrite – 4 sin(r) + 4 cos(x) as A sin(x + ø) A = $ =

A:

Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero.…

A:

Q: 1 dx 1+cosx

A: here we use integration, and some algebra equations  sin2x+cos2x=1 , (a+b)(a-b)=a2-b2.

Q: W 5. What is the exact value of sin (-165°) using the half-angle identities? O V6+v2 4 4 O -Võ+v2 4…

A: Given data is : sin-165∘ To find the exact value.

Q: d) x=√3₁ It is given that sin x=- where x= [0,2], which quadrant(s) is x in?

A: We can answer both the question in the following steps.

Q: a. Solve the following equation: 2sin? x - cosx + z = 0

A: Since, you have posted more than 1 question, we will answer the first three questions for you.. For…

Q: Rewrite 6 sin(x) + 5 cos(x) as A sin(x + 0) A = Note: ø should be in the interval – T < Ø < T II

A:

Q: Consider the equation below. 7 r = 6 + 6 cos(0)

A: Given equation is r=76+6cosθ

Q: ( 10* -dx may be written as Aln secB*- cos10 tanB*| + C• where A, B, and C are constants not equal…

A:

Q: Cos(x+(4pi/3)

A: Cos(x+y) = Cos(x)*Cos(y) + Sin(x)*Sin(y) We have given  Cos(x+(4π/3)) = Cos(x)*Cos(4π/3) +…

Q: 3VI cos

A:

Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

A: ∂z∂x=52xz2+2x2z∂z∂x+cos(x+z)1+∂z∂x…

Q: S- 7- 16x? 1. dx Do not use trigonometric substitution for #1 (it is not necessary). Use another…

A:

Q: Find an appropriate guess for y,p. You do not need to find the values of the coefficients. y" + 3y'…

A:

Q: * What trigonometric substitution should be used to evaluate - 9 dx? x2 x = 3cose X= 3tane (c)…

A: Given:       Objective is to find the correct substitution for given integral.

Q: Simplify the expression (for values of the variable for which it is defined) 9. cos2(2x)+sin2(2x)

A: We know the trigonometric identity that,  cos2x + sin2x = 1 Here x represents an angle, so if your…

Q: 12. y' = cos?x cosy %3D

A: Given differential equation is: y'=cos2 x·cos y Then we get, dydx=cos2 x·cos y Therefore the order…

Q: 45 27 Y 36 z What is the cos X of the triangle above? What is the cos Y of the triangle above?

A: From trianglecosX = adjacenthypotenuse         = XZXY          = 2745           =35 ⇒ cosX =35

Q: Rewrite – 3 sin(x) +4 cos(x) as A sin(x + ¢) A = Note: ø should be in the interval -n< ¢ < T

A:

Q: Use the cosine law to show that ū · ở = ||ū||||J|| cos(0). You must use the cosine law in this…

A: To prove that               u→·v→=u→v→cosθ

Q: dx Using trigonometric substitution to evaluate we will get 7| (1+ cos20)de, What is the value of A?…

A: Use the substitution x = 4tan(θ) , rewrite the given integral . Then we get the value of A.

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

A:

Q: * What trigonometric substitution should be used to evaluate x² - 9 dx? x2 A x= 3tane B x= 3sine…

A:

Q: Find p(t) if p"(t) = 2e' +4 cos(t), p(0) = 0 and p'(0) = 0. Explain why the expression you found for…

A:

Q: rob 6 Evaluste lem x-o x+cos ().

A: we will find the limit.

Q: Detemine the value OF C IF X=1-co2 and y =1.B9 when you evaeuate Scot"(2x)dx. Cure radiar form Of…

A:

Q: Listen Arrange the given steps to correctly verify the equation. 2csc e ्येम 1-cos 0 1+cos 0

A: 11-cosθ+11+cosθ=1+cosθ1+cosθ11-cosθ+11+cosθ1-cosθ1-cosθ…

Q: x³dx Using trigonometric substitution, is equivalent to x²-4 8 / sec*o do A B 6 tan'o seco do © •Smo…

A: The given integral is: I=∫x3dxx2-4

Q: S 3 cos 5x dx

A: It is given that,  ∫3cos5x dx It is known that the integral of cosx is sinx but if we have,  ∫cosax…

Q: Find the cosine of ZH. 58 H. 33 Write your answer in simplified, rationalized form. Do not round.…

A:

Q: Given cos² x = a, where –1< a < 1. what is the value of cos 2x? O 1 01– 2a О 2а - 1 O 2a

A: We can find the answer as below

Q: Which of the following statement is always true? A All of the above choices a, b and c. B For all x…

A: Let's find.

Q: T R If sin R= then cos S= ? O A t. CO022

A:

Q: Scos2x (2 cos2x-1) dx

A:

Q: | b, sin nx cos mx dx — п

A:

Q: 10 -dx may be written as Aln secB+ tanB*+ C. where A, B, and C are constants not equal to zero.…

A: Given: I=∫10xcos10xdx   We know that; ∫secxdx=lntanx+secx+C   So, we can also write as;…

Q: Find an appropriate guess for Ур. You do not need to find the values of the coefficients. y" + 3y' +…

A: Given differential equation is y" +3y'+2y=5e^-x +xcosx

Q: 2. Evaluate the following using trigonometric substitution. Show all necessary solutions. 2/2 dx (c)…

A: We are given the integral : ∫12dxx24-x2 We need to evaluate this using trigonometric sub:stitution .…

Q: cos²x dx 1+sin x

A:

Q: (a) Use the formulas for cos(A+ B) and  cos(A - B)toshow that sin A sin B =1/2 [cos(A - B) - cos(A +…

A: a We have use the formula of cosA+B and cosA-B to show that sin A sin B=12cosA-B-cosA+B b Now using…

Q: 5) cos X = 35 B. 12 37 R

A: Use the trigonometry ratio formula for cosx

Q: sin 4x dx 1+cos2x

A: To find ∫sin4x1+cos22xdx  Let u=2x,   du=2dx⇒dx=du2, Then =∫sin 2u1+cos2udu2=12∫2sinu cosu1+cos2udu…

Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

A:

Q: Find the exact value of f20, tan (5x)dx 20 Select the correct answer. 10 None of these. 4 10 - 15 15…

A: To evaluate I=∫-π20π20tan45xdx

Q: Determine wo, R, and 8 so as to write the given expression in the form u R cos(wot - 8). = u= -5…

A: We simply convert the given equation in its general format.

Q: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…

A: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.