18 Express 2cos 0+9sin e in the form Rcos(0-a), where R>0 and0

Q: AC = d and %3D INДАВС, АВ In ABCD, CBD = 0,BĈD = B,BC Use the cosine rule to show x = 2d cos 0 В, ВС…

A: Given: AB=AC=d ABC=ACB= θ CBD=θ, BCD=β, BC=x, DC=k

Q: 0 and 02 are two distinct values of 0(0 < 0127,0< 02 < 2x] satisfying the 1 sin 2a. Prove that, 21…

A: Consider the following equation: sinθ+α=12sin2α Substitute θ=θ1 and θ=θ2 in the above equation:…

Q: 3. Show that (8 – a) + ib (8 – a)² + b² ' L{ela+ib)t} Applying Euler's formula, deduce 8 - a L{et…

A: Here we use the Euler's formula for expanding the given function and then use given formulas to…

Q: 2. Consider the equation 2x³ + 5x – 4 = 0, 0 < x< 1. i) Show that by using Newton's formula, the…

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Q: Find the length of the path for c(t) = (4(0 – sin(0)), 4(1 – cos(8))) over the interval 0 < 0 < 2r.…

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Q: An RCL circuit connected in series with a resistance of 4 ohms, a capacitor of 1/26 farad, and an…

A: This question is about application differential equation.

Q: points

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Q: Given that the characteristic equation has the following roots , what is the complementary solution?…

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Q: 3 Find the exact values of s in the interval [0,2x) that satisfy the given condition cos 2s = л 11т…

A: Topic : trigonometry

Q: Note: Answers must be in 4 decimal places. 1.Use De Moivre's Theorem to solve the following. I. Find…

A: We are entitled to solve one one ques at a time and up to 3 sub-parts only. To find - Use De…

Q: Evaluating (A) (B S -3 of */2 si 57/2 18 18 ofth 0 (D) 9-x² dx using trigonometric substitution will…

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) = (2 e¹ sin t)i…

A: INTRODUCTION: The formula of the Tangential component of the vector r(t) is given by, aT=v·av The…

Q: 2. Determine the general solution of this equation in terms of C r(1–0²) dr – (Br² – cos0 sin®)d@ =…

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Q: A small particle is given an initial velocity u, tangent to the horizontal smooth hemisphere at a…

A: Given, Initial velocity=u0 Radius=R Now, apply the law of construction of angular momentum about…

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (6 e 7)i+ (6…

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Q: Find all solutions of the equation 2 cos 3z = 1 in the interval [0, n). The answer is z1 and 3 with…

A: A general solution of the trigonometric equation: - The generic solution of the trigonometric…

Q: 10. Solve the equation over the interval [0,2n) cos (20) = 5cos (8) – 3

A: Given :- cos(2θ)=5cos(θ)-3 To find:- solution of equation

Q: Given I(0) = cos (0 + π), (a) Find I(-) analytically. (b) Find I' numerically by using a central…

A: Given: Iθ=cosθ+π. (a) Differentiate with respect to θ, I'θ=-sinθ+π…

Q: The turning moment T on the crankshaft of an engine is given by T= 6+2.5 sin 20– 3.8 cos 20 Find the…

A: Explained below

Q: Express the number 5/3 – 5i in the form R(cos(0)+ i sin(0)) = Rei where R> 0 and -T <0 <T. NOTE:…

A: Given:     A complex number z:=53-5i. To Find:  The Polar form of z. i.e., z=Reiθ=Rcosθ+isinθ, where…

Q: An RCL circuit connected in series with a resistance of 4 ohms, a capacitor of 1/26 farad, and an…

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Q: (5.2) In a certain piston engine, the distance x (in centimeters) from the center of the drive shaft…

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Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: Simplification

Q: Find all solutions of the equation 2 sin x + V3 = 0. Give your answers as exact values, as a list…

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Q: | Find all solutions to 2 cos(0) = - v2 on the interval 0 < 0 < 2m. 0 = (pi)/4,-(3pi)/4 Preview

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Q: a) Express 16sin 0 in the form a sin 0 + b sin 30 + c sin 50 , where a, b and c are constant.

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Q: Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0 <T. NOTE:…

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Q: 6. Solve the follawing difference equatrm using z-T. b. yck)- y (k-1) +Yck-2) =2 sin 21

A: Given difference equation is y(k)-34y(k-1)+18y(k-2)=2sinkπ2           (1) Let z-transform of y(k) is…

Q: a) Find all exact solutions on [0,2n) of 8sin?x + 6sinx + 1 = 0. b) Fine all exact solutions on [0,…

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Q: A standing wave on a 2-m stretched string is described by: y(x,t) = 0.1 sin(2rtx) cos(50tt), where x…

A: Solution :-

Q: Express the number 3√3 - 5i in the form R(cos(0) + i sin(0)) where R> 0 and -T≤0 ≤ T. NOTE: Round…

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Q: 1 8. Given that cos 0 and <0 < 2n, find the other circular functions. %3D

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Q: Find all values of 0 in [0; 2n] that satisfy the equation. 3. 2 tan(0) - sec(0)sin?(0)=0 3TT 7T a.…

A: Given: 22tanθ-secθsin2θ=0, θ∈0, 2π

Q: Find the simplified rectangular form of 9 cos r+j9 sin- 24 cos 짜124 sin + v6cos ㅠ+ jvV6 sin 금ㅠ+…

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Q: Solve 7 cos(2t) = 7 cos"(t) – 2 for all solutions 0 <t < 2n %3D t = Give your answers accurate to at…

A: Given the equation: 7cos(2t)=7cos2t-2, Let us first move the terms on the left hand side to the…

Q: 5. Given 0 < 0 < 27, solve cos² 0 = 1 – sin 0. ○0, 플,T O 0, 플, , 플

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Q: Express the number 3√3 - 6i in the form R(cos(0) + i sin(0)) = Re¹0, where R> 0 and -T≤ 0 ≤ T. NOTE:…

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Q: An RL circuit has an emf given (in volts) by 3 sin 2t, a resistance of 10 ohms, an inductance of 0.5…

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Q: 8. Solve the following equations for x (show all solutions for 0°≤ x ≤ 360°): (4) (a) 4sin(x-30°) -…

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Q: Given that the characteristic equation has the following roots, what is the complementary solution?…

A: We have to find the characteristic equation.

Q: A rain gutter is to be constructed from a metal sheet of width 54 cm by bending up one-third of the…

A: Area of part 1,Area of triangle = 12×b×hb= 18×cosθh= 18×sinθArea of triangle 1 =…

Q: (1) Given that z = 1-iV3, express z in the form r(cos e + i sin e) Hence write down z7 the form

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Q: A mass that weighs 8 lb stretches a spring 6 inches. The system is acted on by an external force of…

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Q: 1.Use De Moivre's Theorem to solve the following. i. Find [2(cos120° + jsin120°)]5 ii. Find (-;+j…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: series circuit containing an inductor with an inductance of L henries, a resistor with a resistance…

A: Given:

Q: Express the number 8/3 – 6i in the form R(cos(0) + i sin(0)) = Re", where R 0 and -T <0 < T. NOTE:…

A: Please check step 2 for solution

Q: 40 0<0<-, find the exact valı 41' If sin 0 = (a) sin (20) (b) cos (20) (c) sin 2 -

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Q: 4 19. Find the exact value of sin 2a for the given conditions: cos a=- and a is acute. 4. 3 25 (a)…

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.