1) 2 tan (theta /2)= 2) 2 tan theta Sin ^2 (theta /2)= 3) 2 Cos (45 + x) Cos (45-x)= 4) (Sin 3 x - 3 Sin x )/ ( Cos 3 x + 3 Cos x) = 5) 2 tan (theta /2) / { 1 + tan ^2 (theta /2) } = 6) Find the least positive value of theta such that tan (45+ theta ) - 3 tan theta =2
I have a attachment of 2 problems of which I am trying to solve. For both of these problem, I am to derive an expression. Derive a Trigonometric expression. Please see attached.
Solve for x: sin x = cos x Solve for x: cos x - 6 sec x = 1 Both are 0 is less than or equal to x and x is less than or equal to 2 Pi
Given sin x=-1/8 and tan x < 0, find sin 2x (without using a calculator).
Given sin x=-1/8 and tan x <0, find sin 2x.
Prove: (1+ cot^2 θ/1+tan^2 θ)=cot^2 θ.
Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be
1. A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of the side adjacent to the 63 degree bearing). How far is the lobster boat from the light house? 2. A recent land survey was conducted on a vacant
I am pretending that I am interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September
Latitude presents special mathematical considerations for cartographers. Latitude is the north-south location on the earth between the equator and the poles. Since the earth flattens slightly at the poles, a nautical mile varies with latitude. A nautical mile is given by N(e) = 6066 - 31 * cosine 2e. e represents the latitude in
A V-gauge is used to find the diameters of pipes. Look at the figure in the attachment, the measure of angle AVB is 54°. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter. a. Suppose that the diameter of a pipe is 2 cm. What is the distance VP? b. Suppose that the distance VP is 3.9
Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why? Explain
1. Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why? 2
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
The figure below shows the graph of a sine function - y is a function of θ, with θ 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
A) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t) b) y''+y=tcost
Evaluate (be careful if n=m) ∫ 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.
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
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.
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.
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
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 139.0Â N (31.2Â lb). What is the weight carried by the builder at the rear if the drywall is carried by the longside (distan
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.
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.
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.
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
Find two angles such that sin theta=.9872. Describe the steps you used on your calculator.
Determine the period: y=3sin(4x-pi)
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!
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).