Using Trig Identities to Cancel and Simplify Equations
I have included all details on attached file. Please help me get to the final line of the question.
I have included all details on attached file. Please help me get to the final line of the question.
Please see attached Verify using the method of residues:
Solve for solutions in interval of {0 degrees, 360 degrees) Show all steps. tanA=2sinA.
1-cosx= 2/(cos^2(x/2)) How can this be verified? Read as one minus cosinex equals two over cosine squared x over 2 (half-angle squared).
Trigonometry Review 1. Assume the angle of inclination of the sun is given by Theta = (pi/12)t, where t is the number of hours after sunrise. Suppose we have a 10 meter high flagpole. a. What is the angular velocity of the sun? b. Write an equation for the length of the flagpole's shadow when the angle of the sun is theta rad
Find the solution to: PDE: u*xx-c(to the power of negative k)u*tt=0 , 0 ICs: u(x,0)=f(x) and u*t(x,0)=g(x), x>=0 BC: u*x(0,t)=0 , t>=0 This BC corresponds to a string with its end point free to move in a vertical direction. (Please remember to include to boundary condition in your solution. Thanks very much!)
Let u(x; y) be the solution on 0 < x < 2 and 0 < y < 2 of uxx + uyy = 0 with u(0, y) = u(2, y) = u(x, 2) = 0 and u(x, 0) = f(x) the triangular pulse with f(0) = f(2) = 0 and f(1) = 2. f(x) = {2x 0<x<1 {-2x+4 1<x<2 Let uj,k = u(j/2; k/2) for j = 1; 2; 3 and k = 1; 2; 3 as obtained by the numerical method. (a)
See the attached file. 1. Convert the measure to radians : 2/3 revolution counterclockwise from the x-axis. 2. Evaluate arcsin ½. 3. Evaluate csc(arcsin5/13). 4. Evaluate sin(artan pi). [Please show your steps]. Please see the attached file for the fully formatted problems.
Use the sum and difference formulas to find the exact value of cos(255 degrees) Which of these is the correct answer? A. (-√2 + √6)/4 B. (√2 - √6)/4 C. (√2 + √6)/4 D. (-√2 - √6)/4 [show your steps in completing this problem]
Identify the expression that completes the equation (1+sinx/cosx) + (cosx/1+sinx). A. -2sinx B. 2cscx C. 2secx D. 1 [show the identities and the steps involved in completing this problem]
Please see the attached file for the fully formatted problem. Use trigonometric substitution to write the algebraic expression sqrt(36-4x2) as a trigonometric function, where the substitution is x = 3 cos theta and 0<theta<pi/2.
See attached file --- find all solutions of the equation in the interval [0,2). tan(x+ pi) + 2sin(x+pi) = 0 [show all the steps in solving this equation, not just the answer] ---
Verify the identity in the attached document.
In any triangle ABC, prove that (b +c )cos A+(c +a) cos B+ (a + b)cos C=a+b+c. See the attached file.
Verify this identity: Sec6x(SecxTanx) - Sec4x(SecxTanx) = Sec5xTan3x [include all the steps leading up to the verification]
Please see the attached file for the fully formatted problems.
2. Show that, like the wave equation, the given PDE is hyperbolic and find its general solution by introducing the suggested change of variables. (b) uxx - 4uxy - 5uyy = 0 ........ Please see the attached file for the fully formatted problems.
1. Obtain the solution to the initial-value problem (1) for the given f(x, y), a, and b, and give the relations that define the nodal lines of w, if any. Let c=1 in each case. (e) f(x, y) = 1.05 sin 3x sin y - sin x sin 3y, a = pi, b = 2pi. See the attached file.
See the attached file. 1. Suppose that a boat leaves Jacksonville traveling at a bearing of 110o. It goes 30.0 km, and then travels 100.0 km at a bearing of 170o. How far is it from Jacksonville? 2. Suppose that I am trying to judge the distance across a lake. I stand facing some house on the opposite shore. I turn 95o to the
Please show each step of your solution. When you use theorems, definitions, etc., please include in your answer. 6. In each case solve (1) with boundary conditions (1b) changed as indicated, and for the specified f(x). Use a half- or quarter-range cosine or sine expansion, as appropriate... Please see attached.
2. A researcher randomly selects a sample of college students majoring in physics, chemistry, psychology, P.E., or English lit. He notes each student's major subject, and also whether that student is a blonde, a brunette, or a redhead. The data are as follows: Physics Chem Psych P.E. English Total Blonde 8 10 20 4 10 52
Solve each equation for exact solutions in the interval [0, 360]. Use either an algebraic method or a graphical method. 2 sin x -1 = csc x.
The angle of elevation of a cloud from a point X m above a lake is A and the angle of depression of its reflection in the lake is 45 degrees. Find the height of cloud?
Find the fundamental period. 6 cos x - 4 sin 3x
5. Determine fe(x) and fo(x). Is f even? Odd? Neither? - See attachment. (g) x^4 + x^3 + x^2 + x + 1 (j) sin(sin x) (k) cos(sin x) (^ is raised to the power of) fe(x) means even function. fo(x) means odd function.
Important Formulas and their Explanations (VI): Identities of Plane Trigonometry Pythagorean Relation Pythagorean Identities Pythagorean Identities
Prove sec 2A + tan 2A = (cos A + sin A)/ (cos A - sin A) Express this as a sum of 2 trigo functions 2(siny)(sin5y) Prove (sin2A)^2 - (sinA)^2 = (sinA)(sin3A)
A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight? See the attached file.
Please see the attached file for the fully formatted problems.
There are 3 problems. The first and second problem are with the dotted lines both are division problems. I am looking for the expression for each. 1) Sin(x + B) + cos( x - B) --------------------------- = Cos(x + B) - sin(x - B) 2.) Tan2x + sin2x = -----------------