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# Trigonometry

### Trigonometric Function Graphs

I need help with the following problem. For the range 0.1 < or = x <or = 0.2, plot the following function. cos (3x)/sin (2x) I really don't know where to begin. thanks

### trigonometric function find period, amplitude, phase shift

The figure below shows the graph of a sine function - y is a function of &#952;, with &#952; measured in degrees. For this function state: a. its Period b. its Amplitude c. its Phase Shift from the sine function y = sin2x d. the Equation of the Function Answer in degrees also please Please see the attached file for t

### Find General Solutions to a 2nd and 4th Order ODE

A) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t) b) y''+y=tcost

### Evaluate the Integral

Evaluate (be careful if n=m) &#8747; 0 --> L sin(n pi x/L) sin(m pi x/L) dx for n>0 and m>0. Use the trigonometric identity 2 sin a sin b = cos(a-b) - cos(a+b) Please see the attached file for the fully formatted problems.

### Cross-sectional Area and Co-ordinates of Holes : Algebra and Trigonometry

1. A flat is machined on a circular bar if 15 mm diameter with a central depth of 2 mm. Find the area of cross-section of the finished bar. Q2. The diagram shows 5 holes equally spaced round a pitch circle of diameter 100 mm. Calculate the co-ordinate dimensions (i.e. the x and y co-ordinates) of the hole centres relative to

### Analyse a trigonometric function and graph

Q1. The figure below shows the graph of a sine function -y is a function of x, with x measured in degrees. For this function state: a. Its PERIOD b. Its AMPLITUDE c. Its PHASE SHIFT from the sine function y = sin3xo d. The equation of the function Please see attached.

### The Pythagorean Theorem and Similar Triangles

1. AB ll ED. Suppose that AC=12,AE=9, and BC=15 find CD. 2. It is given that TRIANGLE RST ~XYZ(not shown). If RS=10,ST=12,RT=16,and Xy=6, find xz. See the attached file.

### Sound Waves

Consider the wave equation when the solution s admits spherical symmetry, ie, s(t,x,y,z)=v(t,r), where ... , the wave equation becomes: (1) making the substitution for some twice differentiable function h, show that (1) becomes hence, show that the general solution reads for any twice differentiable functions f

### An Equilibrium and Weight Problem

Two builders carry a sheet of drywall up a ramp. The drywall is very thin and is 3.20m long and 2.20m wide. The ramp makes an angle of 18.0 degrees with the horizontal. The lead builder carries a weight of 139.0 N (31.2 lb). What is the weight carried by the builder at the rear if the drywall is carried by the longside (distan

### Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition

The Green's function for the infinite domain is... where H is the Heaviside function. Use Green's functions to solve the Neumann boundary condition problem... Give explicit formulas for the solution in each region x>t and x<t. Please see attached for equations.

### Sine or Cosine Curve Versus a Tangent Curve

What are the differences in the steps of graphing a sine or cosine curve vs. a tangent curve? Please provide answer in written form not graphical form.

### Horizontal, Vertical Shift and Reflection Using a Trigonometric Function

Give an example of a horizontal shift, vertical shift and a reflection using trigonometric functions. Do not show this in a graph form, please have the answer written out. I'm looking for the theory not the graphic form.

### Trigonometric Equations : Solution and Area of Triangle

1. Find all the solutions of the equation 3sin20(degrees) = cos2x(degrees) in the range 0(degrees) is less then or equal to x(degrees) which is less than or equal to 180(degrees). 2. A triangle has sides A-C =3cm A-B = 5 cm B-C = 4 cm Find the area of

### Sine & CoSine Calculator Described

Find two angles such that sin theta=.9872. Describe the steps you used on your calculator.

### Trigonometric Functions : Determine the Period

Determine the period: y=3sin(4x-pi)

### Initial-Value Problems, Wronskian and Particular Solutions

1. Solve the IVP y'' - 2y' + 2y=0; y(0) = 0; y'(0) = 5. 2. y'''+9y'=0; y(0)=3;y'(0)=-1;y''(0) =2 Please see the attached file for the fully formatted problems. Please give me detailed, step by step hints to solving the problems. Thanks very much!

### Trigonometric Identity Function

If Z1= R1(cosx1+sinxI) and Z2= (cosx2+sinxI) How do you prove that Z1 multiplied by Z2 = R1 multiplied by R2(Cos(x1+x2)+sin(x1+x2)I).

### Simplify using the trigonometric identities

simply Cos(2x)csc(2x)- cos(2x) using trigonometry identities.

### Applying Trigonometric Identities

Evaluate this expression and put in terms of sin x and/or cos x. sin6x + sin4x Show your work and explain how the answer was obtained.

### Trigonometry : Angles from Sines

Find two values of theta where sin theta = .3907?

### Evaluating Trig functions

Use the given values to evaluate the remaining trig functions. sin(-x) = -1/3, tan x = -sq. root of 2/4 Please show me the complete steps to evaluate this problem.

### Trigonometric Identities : Calculate cos(3u) in terms of cos(u).

Calculate cos(3u) in terms of cos(u).

### Verify the trigonometric identities.

Verify the following identities, show all work secx(1-sin^2x)=cosx tanx + cotx=secxcscx cotx/cosx=cscx csc^2x(1-cos^2x)=1 cosxcotx + sinx=cscx

### What is the volume of this prism whose base is a rhombus?

The base of a prism is a rhombus with each side 13 and one diagonal of 10. If the height of the prism is 7, what is the volume?

### Prove the trigonometric identity.

Prove that [sin &#952;/(1 - cos &#952;)] - [(1 + cos &#952;)/sin &#952;] =0 Provide reasons (identities, operations, etc.) for each step in the proof. Include any thoughts, ideas or strategies used to prove the identity.

### Function indicated domain of definition

The problems are from complex variable class. Please specify the terms that you use if necessary and explain each step of your solution. If there is anything unclear in the problem, please tell me. Thank you very much. 4. Use the given theorem to show that each of these functions is differentiable in the indicated domain of

### angle of elevation should be used to hit an object 190 meters

A gun has a muzzle speed of 80 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use g= 9.8 as the acceleration of gravity.

### Find parametric equations for the tangent line at the point

Find parametric equations for the tangent line at the point on the curve

### Convert the equation to Cartesian coordinates: r sin &#952; = - 2

Convert the equation to Cartesian coordinates: r sin &#952; = - 2

### Hyperspheres : Volume of a Sphere with Radius 'r'

Finding formulas for the volume enclosed by a hypersphere in n-dimensional space. a) Use a triple integral and trigonometric substitution to find the volume of a sphere with radius r.