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Q: a) By expanding sin(2x+x) using double angle formulae, show that and sin 3x = 3 sin xr-4sin x.…

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Q: 2+7 sin z 3. dz cos? z

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

A: Solved below.

Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: by using the triangle method, Show that cos (21an n+1 %3D n2+1 n-1

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Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: i) um asinx-sin2z ,u fünute, fünd the vaue the uimit. tana ofa and

A: Now, the limit is finite given so, the above must be 00form So,  a cos0-2cos0=0⇒a-2=0⇒a=2

Q: If I, = e cos" zdr, where n > 2, Prove that i) I, =1-n e sin z cos"- rdr

A: Given,  In=∫0π2e-xcosnxdx solving by using Integration by parts, Formula of integration by parts,…

Q: Tet z. tan Z. tan x X= u cosV, y: usinv find 23 and

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Q: Find all angles between 0 and 2T satisfying the condition COS X = 2 Separate your answers with…

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Q: Find all angles v between −π and π that satisfy  6 cos(v)2+6 √ 2 * cos(v)= −3 .

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Q: 12 Find an ex pression For: @ cos o CoŚSo , © © Sin"o O Sin 40 9) 3 simplify using De Moivre's…

A: Given (12) (a) cos5θ (b) cos5θ (c) sin4θ (d) sin4θ (13) cosπ3+isinπ32+cos2π3+isin2π34 Use the…

Q: Find the crea trom X = 0 to 2 rad y=2 sin '/2 Tr x.

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Q: In right argle triargle, A =q0° and tanc = V3 End : sin B cośltcos Bsin C %3D

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Q: In A XYZ, ZZ is a right angle and mZX = 53°. Which statement is true O cos 53* YZ %3D XY XZ O tan…

A: From the given figure representative diagram is shown below:   With respect to ∠53°.…

Q: The entrance of Angel Stadium in Anaheim is cemposed of baseball bats configured in various right…

A: Given∠DCE =34°CD =47

Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1will satisfy the conditions y(?/8)= 0…

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Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6

A: Given function and point is  w=f(a,b,c)=cos(ab)sin(b)+c and 12,π3,6

Q: To evaluate tan z cos z dz, we may substitute u= cos z.

A: Given,          ∫tan3xcos2xdx

Q: Given that z = 1- iv3, express z in the form r(cos 0 +i sin 0). Hence write down z' in the form…

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Q: Given that cos ß = V3 find the exact 2 value of cos 2B: Cos 23 3 Cos 23 %D 1 cos 2B 1 cos 2B %3D II

A: Trigonometry Question

Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…

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Q: Done Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D 6 Reply 1 Forward

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Q: 2) cos(40") =? Let "u"= 20° and "v"= 20°

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Q: iven that (1-cos(theta))/2=0.7, find csc^2(theta/2)

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Q: 3. Given that cos 30 J3 and sin 4S = 2, without the use of a %3D %3D 2. 2. calculator, evaluate…

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Q: which of the foliowing is a vaiid equ be us ed to Soiue for 2 ak di altan 40=x 60 60 bl Sin 4O= 40…

A: Given : A right triangle

Q: Hiw Preof. ļ Cos at)= Proof. I cos at)=s jat -iat Notest cos at= ė te Sta? 2

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Q: Show that r = cos(2theta) is symmetric about the y-axis.

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Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof…

A: We know that  Tan(x) =sin(x)/cos(x)

Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: X sin²= cos7 zcos'dx ·COS 2

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Q: 5- Prove the following (Answer two only): secA. secB.cscA.cscB a- cos*e – sin*o =cos²0 – sin²e c- =…

A: Answer 2 only.

Q: See attached image. Please provide a solution with a detailed explanation of steps.

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Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

Q: Find all angles between 0 and 27 satisfying the condition Cos x = Separate your answers with commas.

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Q: 1. By considering (1+ expi®)", prove that "C, cos r0 = 2" cos"(0/2) cos(n /2) (ii) ►"C, sin r® = 2"…

A: First, expand the given complex function:

Q: { 0, 1, sin’t, cos t, cos 2t } COS a cubcnnco? Juctifu vour

A: This is a question of linear algebra and vector space.

Q: If z = os0+ I sin 0 and y= cos Isin p, then show that %3D 2 cos(@-).

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Q: 2 sin 8 then I- cas o +SinD is also y. ノ I+ Cos 9 + sing I+sing

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Q: Express 6(cos 2pi/3 + i sin 2pi/3) in the form of a +bi

A: Here the given polar form of a complex number is 6(cos2π3+isin2π3) . Now we express the polar form…

Q: z2 = 2(cos7pi/12+isin7pi/12) what is (z2)^2 ? use de moivre law if needed

A: The given complex number is  z2 = 2(cos7pi/12+isin7pi/12)

Q: that the left hand side of the equation is equivalent to the right hand side. 1- - sin cat Steps:…

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Q: 3. If tan(a-iß) = x- iy , show that x? + y?-2ycoth2B = -1

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Q: - con uen sin a pe() & BET, 2 = cos given sin B =

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Q: Ex If B- Ae * Sinpt cas (q*)p -kb 8 EXl If Ae ê Sinpt cos (9x)P Satisty Qxx =! [Q# +* Qt J6ut k, P,…

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Q: Find cos(u – v) given the following information. 4 sin u = 5' 3 2 1 sin v = 3' 2

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.