
when solving for all solutions how do I work out this problem: cos4(alpha)=cos2(alpha) and when verifying each identity how do I complete this problem: sin (alpha/2)=sec alpha 1/2sin (alpha/2)sec alpha

This time three questions  1. If (x^2  1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2  5ax  7 and x^ 3 + ax^2  12 x + 6 are divided by ( x + 1

This time three questions  1. If (x^2  1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2  5ax  7 and x^ 3 + ax^2  12 x + 6 are divided by ( x + 1

Find the counterexample to shows that the equation sec (alpha)  cos (alpha) = sin (alpha) sec (alpha) is not an identity. Please explain.

FInd the exact value pf the 6 trig function of alpha Given: point (2,6) on the terminal side of the angle in standard position sin alpha cos alpha tan alpha sec alpha csc alpha cot alpha


if sin alpha is 0.28° where 0° is less than or equal to alpha less than or equal to 90°, evaluate cos alpha, tan alpha, sec alpha, cosec alpha and cot alpha. please help, it's urgent.

If alpha and beta are the zeros of the polynomial ax^2 + bx + c then evaluateA. (alpha)^2 / beta + (beta)^2 / alpha B. alpha^2 .beta + alpha.beta^2 C. 1/(alpha)^4 + 1/(beta)^4. Please work the complete solution.

express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) > Rcos(alpha) = 20 Rsin(alpha) = 4 The xy coordinates of a point on a circle of radius R that makes an angle og alpha

assume A= alpha using complementary rule how do I solve for alpha? cos(2A+40) =sin(3A60) I don't understand how to start the question. What are the steps in solving for alpha. Do i get cos to equal sin somehow?

Please find sin (alpha/2) and cos (alpha/2) sec alpha = 3, pi/2 < alpha < 0

Alpha Corporation in Boston offers a job to Carol, who lives in Des Moines, Iowa. Carol orally agrees with Alpha to work in Boston for two years. She moves her family to Massachusetts and begins to work. Three months later, she is fired for no stated

evaluate the following in exact form, where the angeles alpha and beta satisfy the conditions: sin alpha=4/5 for pi/2 < alpha < pi tan beta=7/24 for pie < beta < 3pi/2 answer choices A. sin(beta+alpha) B. tan(betaalpha) C. cos(alphabeta)

If cos 9 alpha = sin alpha 9 alpha < 90 degree then 5 alpha =

If cos 9 alpha = sin alpha 9 alpha < 90 degree then 5 alpha =

if alpha and beta are the zeros of the polynomial 2x^24x+5 then find the values of (i)alpha^2+beta^2 (ii)1/alpha^2+1/beta^2 (iii)(r)alpha/beta+(r)beta/alpha (iv)alpha^1+beta^1


given that sin alpha/2 = 2/3, and that alpha/2 is in quadrant II, determine the exact values of all trig functions for alpha.

Write cos(83degrees) as a function of a positive angle Prove that tan^2(alpha)1+cos^2(alpha)=tan^2(alpha)sin^2(alpha)

knowledge : point (3,4)is on the terminal arm of an angel (alpha) in stander position.verify that (sin alpha)2 + (cos alpha )2 =1

using sin(alphabeta)=(sin alpha)(cos beta)(cos alpha)(sin beta) use the identity to derive the result proof for : sin(alphabeta) PLEASE PLEASE PLEASE HELP

Prove that tan^2(alpha)1+cos^2(alpha)sin^2(alpha) Please Explain

Please teach me. I am completely blank with it. :( Let alpha = (3+sqrt(3))/2 belongs to Q[sqrt(3)]. Show that if x is congruent to 1 mod alpha, then x^3 is congruent to 1 (mod alpha)^3. Similarly, show that if x is congruent to 1 mod alpha, then x^3 is

Three oil platforms, Alpha, Beta and Gamma are situated in the North Sea.Beta is 12 km from Alpha and is on a bearing of 145 degrees from Alpha.Gamma is 16 km from Alpha and is on a bearing of 220 degrees from Alpha.Find the distance of Beta from Gamma.

Find the exactly value of sin2(alpha) if cos(alpha) = 4/5 (alpha in Quadrant I)

The acceleration of a bus is given by \(a_{x}(t)= \alpha t\), where \(\texttip{\alpha}{alpha}\) = 1.10\({\rm m/s^3}\) is a constant.

We conducted a hypothesis test for a population parameter at alpha = 0.05 and we failed to rejected Ho. If we decided to use alpha = 0.10, how would our conclusion change? A) At alpha = 0.10, we would still fail to reject HO. B) At alpha = 0.10, we would


sin(alphabita)=1/2 and cos(alpha+bita)=1/2, where alpha and bita are positive acute angles then what is the value of alpha and bita

in the diagram below.A,B and C are three points in the same horizontal plane and AD is a vertical tower.AC=AB=x and DC=DB.the angle of elevetion of D from C is alpha and DB^C=theta 1.express DC in terms of x trigonometry value of alpha 2.prove that

Prove: let alpha be a lower bound of a subset E of an ordered set S. If alpha exist in E, then alpha= infE(greatest lower bound of E). PF: Already have alpha is a lower bound of E. Let lambda be a different lower bound of E. If alpha precedes lambda, the

Find sin (alpha/2) and cos (alpha/2) sin alpha = 3, pi/2 < alpha <less then or equal to 0 How to get the answer of sin (alpha/2) = 1/square root 3, cos(alpha/2) = square root 6/3?

Consider an alpha particle with kinetic energy E_ (alpha) which is incident on a material. Show that the distance traveled, ∆x, by the alpha particle after it has lost an amount of energy ∆E, in the material, can be found by the following

Consider an alpha particle with kinetic energy E_ (alpha) which is incident on a material. Show that the distance traveled, ∆x, by the alpha particle after it has lost an amount of energy ∆E, in the material, can be found by the following

The identity below is significant because it relates 3 different kinds of products: a cross product and a dot product of 2 vectors on the left side, and the product of 2 real numbers on the right side. Prove the identity below.  a × b ² + (a • b)² =

The question will first read in English followed by a reading in French. *************************************** If alpha + 2 beta = pi/4 AND tan beta = 1/3. What would tan alpha mesure? (Keep in mind that pi/4 is the same as 45 degrees.) Si alpha + 2 beta

In a given situation, suppose H0 (null hypothesis) was not rejected at alpha= .02. Would H0 also be retained at alpha = .01? would H0 also be retained at alpha = .05? I'm thinking yes and can't tell. I agree If you did not reject Ho at P = .02, You would

We conducted a hypothesis test for a population parameter at alpha = 0.01 and we failed to rejected Ho. If we decided to use alpha = 0.05, how would our conclusion change? A) At alpha = 0.05, we would still fail to reject HO. B) At alpha = 0.05, we would


The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they

Given that sin alpha = 15/17 and 360 <alpha<360 find all values of alpha to two decimal places. Help Please!

Why is an alpha particle written as a helium (He) nucleus? A. An alpha particle has two protons and two neutrons; it is essentially the nucleus of a helium atom. B. Helium is a common element that is often present in small forms; the alpha particle was

the nuclide 232 Th 90 is radioactive. when one of the atoms decays, a series of alpha and beta particle emission occurs, taking the atom through many transformations to end up as an atom of 208 Pb 82. How many alpha particles are emitted in converting 232

Two radar stations A and B, are separated by horizontal distance of (a=500 metres), they both track the position of a plane C by recording angles (alpha), and (beta) at 1 second intervals. time (sec) 9 10 11 the angle A(alpha) 54.80 54.06 53.34 the angle B

Suppose that a researcher normally uses an alpha level of .01 for hypothesis test, but this time uses an alpha level of .05. What does this change in the alpha level do to the amount of power? What does it do to the risk of a Type I error?

how i solve this two equations ib order to find alpha and beta 2=cos(alpha)+1.341cos(beta) 2=sin(alpha)1.341sin(beta)

Bob, please confirm if I got this right and if not, please help to solve 1)A wire has a resistance of 10 ohm at 20 deg celsius and 13.1 ohm at 100 deg celsius. Obtain a value for its temperature coefficient of resistance. ans I got is this= using Rt = Ro

If sin theeta=3/5 , cos alpha= 12/13 and theeta,alpha both lie in 2nd quadrant,find the value of tan (theeta+alpha).

A uniform cylindrical spool of mass M and radius R unwinds an essentially massless rope under the weight of a mass m. If R = 12 cm, M = 400 gm and m = 50 gm, find the speed of m after it has descended 50 cm starting from rest. Solve the problem twice: once


Suppose that you are at the top of a (rigid) rocket which is half a light year tall. If the rocket is accelerating such that your proper acceleration is 1g, What is the proper acceleration at the bottom of the rocket? B = F c2 c2 F : This is

Q)1 : Alpha particles travel through a magnetic field of 0.360T and are deflected in an arc of 0.0820m. Assuming the alpha particle are perpendicular to the field, what is the energy of an individual alpha particle?

A golfer takes two putts to sink the ball, one is (81.6 ft, 31.7 degrees N of E) and the other is (3.20 ft, 53.4 degrees W of N). What is the displacement of the single putt that would sink the ball on the first try? Well, what I did was make a diagram of

Rutherford fired a beam of alpha particles (helium nuclei) at a thin sheet of gold. An alpha particle was observed to be deflected by 90.0°; its speed was unchanged. The alpha particles used in the experiment had an initial speed of 2.2 ✕ 10^7 m/s and a

Let Alpha and Beta be the zeros of the cubic polynomial x^3 + ax^2 + bx + c satisfying the relation Alpha * Beta = 0. Prove that : c^2 + ac + b + 1 = 0. Please work the complete solution.

Let Alpha and Beta be the zeros of the cubic polynomial x^3 + ax^2 + bx + c satisfying the relation Alpha * Beta = 0. Prove that : c^2 + ac + b + 1 = 0. Please work the complete solution.

Let Alpha and Beta be the zeros of the cubic polynomial x^3 + ax^2 + bx + c satisfying the relation Alpha * Beta 1 = 0. Prove that : c^2 + ac + b + 1 = 0. Please work the complete solution

Po218 is an alpha emitter with a halflife of 3.0 minutes. If a sample contains 56 mg of Po218, how many alpha emissions would occur in 6.0 minutes? I got 2.4e20 but it said it was wrong. I did what my teacher showed us to do. My work: 86(i got this by

the nuclide 232 Th 90 is radioactive. when one of the atoms decays, a series of alpha and beta particle emission occurs, taking the atom through many transformations to end up as an atom of 208 Pb 82. How many alpha particles are emitted in converting 232

alpha and beta the root of x^2+mx+m^28=0 find alpha^2+(alpha*beta)+bata^2


alpha +beta=pie/2 & beta+gama=alpha then tan alpha=?

Given that the roots of 2x^24x+5 are alpha and beta,find the value of ... (i)alpha^3beta^3 (ii)(alphabeta)^2

Interference Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f1(t) = C sin(wt) and f2(t) = C sin(wt + Alpha). The two sound waves interfere to produce a single sound modeled by the sum

This is the problem given: The side of a hill faces due south and is inclined to the horizontal at an angle alpha. A straight railway upon it is inclined at an angle beta to the horizontal. If the bearing of the railway is gamma east of north, show that

(a) The phase diagram of the binary system, neodymiumscandium ( NdSc ) is given below. There are two polymorphs in the solid state: alpha which is hexagonal close packed (HCP) and beta which is bodycentered cubic (BCC). Identify all phases present at

I have answers for these problems, but I wanted to check if I had them right because I wasn't sure on some of them....Thanks. Solve the triangle: 1. a=4, b=8, alpha=30 deg. answer beta=90 deg., gamma=60 deg., c=7 2. a=5, b=7, alpha=30 deg. answer beta=44

A ball is thrown at an angle of 45 degrees to the ground. If the ball lands 90m away, what is the initial speed of the ball? I know you use x(t)=(v*cos(alpha))t and y(t)=(v*sin(alpha))tg/2t^2 but I'm still really confused about what to do. Please show all

What Is The closure of the set {cos1,cos2,cos3,cos4,...} under usual topology????

I'm confused about significance tests. I've tried to look up what it means for the p to be less than the alpha but none of the explanations made sense. I understand that the alpha is the probability of wrongly rejecting the null hypothesis but I'm not sure

1. A gold atom has a mass of 3.287 • 1025 kg and is at rest. It emits an alpha particle that has a mass of 6.646 • 1027 kg. In this process, the gold atom is transformed into an iridium isotope. The alpha particle has a speed of 3.40 • 106 m/s. A.


Given that sin alpha=4/sqrt65, pi/2<alpha<pi, and cos beta=3/sqrt13, tan beta>0, find the exact value of tan(alpha+beta)

ProximaCentauriisapproximatelythesamedistancefromEarth(slightly less than 4.3 light years) as Alpha Centauri A, but it has an apparent magnitude of +11.05, compared to Alpha Centauri A’s magnitude of 0.01. How much more luminous is Alpha Centauri A than

Alpha rays are really a. electrons b. helium nuclei c. electromagnetic waves I think the answer is B because the alpha particle is a helium nucleus. But I'm confused because if the alpha PARTICLE is a helium nucleus, would alpha RAYS be helium nuclei?

When U238 decays into Pb206 via alpha and beta decay, what are the byproducts of the decay? A) 8 alpha particles and 6 beta rays. B) 8 alpha particles, 6 electrons, 6 neutrinos, and energy. MY ANSWER . C) 16 alpha particles, 16 beta rays, and energy. D) 16

Is The Set {cos1,cos2,cos3,cos4,...} under usual topology closed??? whatbiis its closure????

Q1). If the zeroes of he polynomial f(x)=ax^3+3bx^2+3cx+d are in A.P then show that 2b^3 3abc +a^2d=0 (detailed solution .....) Q2)if alpha, beta, gamma are the roots of equation x^33x+11=0 then find the equation whose roots are (alpha + beta),(beta +

If alpha beta are the roots of a^2 +bx + c = 0. find the values of (beta/alpha^2)+ (alpha/beta^2)

If alpha and beta are the zeros of the polynomial p(x)=x^2+x+1 then find the value of 1÷alpha+1÷beta 2)alpha^2+beta^2

A researcher administered a treatment to a sample of participants selected from a population of 80. If the researcher obtains a sample mean of M=88. Which combination of factors is most likely to result in rejecting the null hypothesis? a, alpha level=0.01

An alpha particle (mass=6.68x10^27kg)is emitted from a radioactive nucleus with an energy of 5.00MeV. How fast is the alpha particle moving in m/s? (1 MeV= 1.6x10^13J). I don't know how to start to solve this problem A.2.40x10^7 m/s B.1.55x10^7 m/s


if alpha and beta are 2 different values of θ lying between 0 and 2π which satisfy the equation 6cosθ+8 sinθ=9 find the value of sin alpha + beta.i want the answer by quadratic method. can u help solving sum by that method

An alpha particle(charge +2e) is sent at a speed towards a gold nucleus( +79e ). 1) what is the electric force acting on the alpha particle when it is 2.0 x 10^14 m from the gold nucleus. 2) if the alpha particle came to a stop at this position after

When U238 decays into Pb206 via alpha and beta decay, what are the byproducts of the decay? A. 8 alpha particles and 6 beta rays. B. 8 alpha particles, 6 electrons, 6 neutrinos, and energy C. 16 alpha particles, 16 beta rays, and energy D. 16 deuterons and

Given sine of alpha=2/3 and cosine of alpha is less than zero, find the exact value of the other five trigonometric functions.

Given that alpha=(14pi/3) what is the least positive angle coterminal with alpha?

which of the following choices correctly describes the decreasing ability of the radiation to penetrate a sheet of lead that is 3 inches thick? A. alpha particles > beta particles > gamm rays B. gamma rays > alpha particles > beta particles C.

draw a glycogen that contains alpha 1,4 and alpha 1,6 glycosidic bonds. please could someone point me in the right direction.

A horizontal beam of alpha particles are injected with a speed of 1.3x10^5 m/s into a region with a vertical magnetic field of magnitude 0.155T. A How long does it take for an alpha particle to move half way through a complete circle? B If the speed of

The terminal side of an angle alpha (in standard position) contains the point (3,4). Find sec alpha.

sec(alpha) = 4(√(5))/5 find exact values at alpha for the remaining five trig functions


a body is projected at an elevation alpha with a velocity of 9.8m/s in what time Wii be direction of motion be alpha/2?

H0: pi<=.60 versus H1:pi>=.60, alpha:.05 x:56 n:80 I really don't get where Alpha is involved, pls help. Thanks

H0: pi<=.60 versus H1:pi>=.60, alpha:.05 x:56 n:80 I really don't get where Alpha is involved, pls help. Thanks

The sample size needed to estimate the difference between two population proportions to within a margin of error E with a confidence level of 1 alpha can be found by using the equation shown below. Replace n1 and n2 by n and solve for n. E= z alpha/2

An alpha particle, the nucleus of a helium atom, is at rest at the origin of a Cartesian coordinate system. A proton is moving with a velocity of v towards the alpha particle from the positive x axis direction. If the proton is initially far enough away to

In Rutherford's scattering experiments, alpha particles (charge = +2e) were fired at a gold foil. Consider an alpha particle, very far from the gold foil, with an initial kinetic energy of 2.0 MeV heading directly for a gold atom (charge +79e). The alpha

In Rutherford's scattering experiments, alpha particles (charge = +2e) were fired at a gold foil. Consider an alpha particle, very far from the gold foil, with an initial kinetic energy of 3.3 MeV heading directly for a gold atom (charge +79e). The alpha

I have looked high and low to figure out how to start this question. I have no clue! Any help would be great!! Rainbows are formed when light strikes raindrops and is reflected and refracted. The Law of Refraction states that (sin alpha)/(sin beta) = k,

The terminal side of angle alpha is in the fourth quadrant, and sin alpha=1/2, find the values of the other functions.

prove that the length of the perpendicular from the origin to the straight line joining the two points having coordinates ( a cos alpha, a sin alpha) and (a cos beta, a sin beta) is a cos { ( alpha + beta)/2}.


alpha+beta=22/7/2 and sin alpha=1/3 then what is sinbeta

Two cars are drag racing, starting from rest at t = 0, on a straight and level road. Team Alpha's car produces acceleration ax = alpha t^(1/2) ; while Team Beta's car produces acceleration ax = Beta ; for all t > 0, where alpha and beta are positive

An alpha particle has a kinetic energy of about 5 MeV after they are far from the nucleus. Use this information to estimate the size of a nucleu by assuming that the alpha particle leaves the edge of the nucleus with zero kinetic energy and that the

Two cars are drag racing, starting from rest at t = 0, on a straight and level road. Team Alpha's car produces acceleration ax = alpha t^(1/2) ; while Team Beta's car produces acceleration ax = Beta ; for all t > 0, where alpha and beta are positive

Two cars are drag racing, starting from rest at t = 0, on a straight and level road. Team Alpha's car produces acceleration ax = alpha t^(1/2) ; while Team Beta's car produces acceleration ax = Beta ; for all t > 0, where alpha and beta are positive