1. Given that sin(a) = with 0 < a < 5, give an exact answer for the following: a. sin() b. cos() %3D c. tan()

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: Eliminate the parameter t from the following. x = sin t − 5, y = cos t − 4

A: Eliminate the parameter and simplify it.

Q: 1. 6(x) = e- sin a, for y' + y cos x

A:

Q: 1. Use the trapezium rule to estimate the value of the following correct to four decimal places a) |…

A: 1a) It is required to estimate the value of ∫0π3tanxdx with 4 strip using trapezium rule.

Q: 2.1 Given that sinh x = [e" – e=*] - - show that dy cosh a. da

A: To Determine: show that dydx=cosh x Given: we have sinhx=12ex-e-x Explanation: we have…

Q: Eliminate the parameter t from the following. x = cos t − 2, y = sin t + 5

A:

Q: 4- Using the data sin(0.1) = 0.09983 and sin (0.2) = 0.19867, find an approximate value of sin…

A:

Q: Use a CAS to plot the implicitly defined level surfaces in Exercises 73–76.

A:

Q: 1 - If xy + sin(e) + arcsin Va dy sin 1 + 1 then what is the value of dz at (, 0) || a) b) 4 8 c)-…

A: Here we have to find the derivative of each term with respect to x and then we have to bring all…

Q: 06:- Find the result of the following. (Choose two only) 4 1- 2-Si(Vx+ dt OLLI x² 3- 7 sine do

A:

Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos 0 = 1/V(1+x^4) b. sin…

A: The solution for the above question is as shown below

Q: 4. 2cot 21 In Problems 5 to 8, evaluate the definite integrals, correct to 4 significant figures. 5.…

A: The integral is defined by a limiting process based on an intuitive idea of the area under a curve.…

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &amp;…

A:

Q: 1.)When m is odd, we can integrate sin" (x) dæ by letting u cos(a). Why does have to be odd for this…

A:

Q: 43. If > 2, then -dr = - 4 Jcos (4) + k B sin- ()+ k '(;) + A Cosh- (5) + k cosh=(4 D 2 tanh-(4) +k

A: for this integration, we will assume that x=sec(theta) and from that, we will solve the integration.…

Q: Part E

A:

Q: 15. (a) Calculate e with an error of less than 10-6. (b) Estimate the error in the approximation…

A: a. Let fx=ex We know that the Maclaurin series is fx=ex=1+x+x22!+... The remainder term is…

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: 2. The antiderivative of cos Π.Χ. A. -cos 2 B. KIN COS C. sin D. sin π.χ. is

A:

Q: Answer: The approximate value of sin 29° is O sin 29° s 1( 29x 2 180 6)+ O sin 29° V3 ( 29x O sin…

A: Please see the explanation below

Q: 5. The function f(0) = (sin O+cos 0) + (sin 0– cos 0) may be written as

A:

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: When t = 0, AP = ..... so sin t will begin at a value of 0. As t increases from 0 to 7T/2, sin…

A:

Q: .... 2. .... 10 .... 50 Show work: trig ratio (sin, cos, or tan) of L = trig ratio: =7°

A: tan 50∘=pq Here, p represents opposite and q represents adjacent. p=x and q=10 Substitute the value…

Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

A:

Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

A:

Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Eliminate the parameter t from the following. x = sin t − 3, y = cos t − 2

A: Eliminate t by squarring

Q: Please I want solution of question 8 with step by step. Many Thanks

A:

Q: 2/12 6. If sin(t) =- and cos(t) < 0, find the exact value of tan(t). %3D

A:

Q: 2 10) Given sin A = - where <B<n , find tan(A+B). 2 < A< T and cosB where 4

A: Please refer to the image

Q: This question is designed to be answered without a calculator. f f(x) =cos(in x) and f' (x) = g(x)…

A: see 2nd step

Q: 11 Ifx = Arc cos then x is equal to 1) 120° 2) 150° 3) 210° 4) 300°

A:

Q: 8. Suppose that the tangent line to the graph of ƒ(x) = r0) at r = 1 is equal to the tangent line to…

A:

Q: I ask for the 3rd time because it is not (sinx)^2 or sin2x. Its sin(x^2) Question: Find an explicit…

A:

Q: Find the solution of the following problem accurate to within 10 using the Secant method. In(x – 1)…

A: Given function is ln(x-1)+cos(x-1)=0 and 1.3≤x≤2 So f(x)=ln(x-1)+cos(x-1) Let x0=1.3, x1=2 So…

Q: 1-Let :=x+iy then cosh(iz ) is equal to a-cos' y+ sinh' x b-cosh' y-sin'x e- sin' x+ sinh v d- None…

A: Let z=x+iy therefore, iz=ix+i2y=ix-y=-y+ix we know that  coshz=ez+e-z2 therefore, cosh…

Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx

A: 4) Given:        ∫1-cos4udu Apply linearity:    =∫1 du-∫cos4u du     =u-∫cos4u du

Q: 3) If y = sin(2n), and x = cos(2n)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 2. If x = 2 sec 0 and 0<0< T/2, then %3D (a) sin 0 = (b) cos 0 (c) tan 0 =

A:

Q: 1 3. a) Verify that sin x cos x = tan x--- π for the value x =-. 4 Ls Sin 4cos 4 2.s TanT/4-Y2 しS…

A: We can use the concept of trignometrical ratio in order to solve the given problem.

Q: find solutions accurate to within 10-5 for the following problems. 2+ sin x - x = 0 use [2,3]

A: To obtain the solution of the transcendental equation fx=0, use the Newton-Raphson method formula.…

Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: 2 Recall thal cos-x= arccos x, Find /2 X Sin (cos x) dx. C.

A:

Q: 1 find the value of so that ky"=-1 at y= For cos x- sin y=- O V3 2 4 4

A: Solution:-

Q: Suppose x and y are functions of a third variable t If sin2(x) + cos²(y) =- and dr dy what is the…

A:

Q: I. Determine the exact values of each of the indicated trig functions for the problems below 8. sin…

A: