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Trigonometry

Triangle Word Problems : Finding Perimeter and Area

Caitlyn is a landscaper who is creating a triangular planting garden. The homeowner, Lisa, wants the garden to have two equal sides and contain an angle of 120°. Also, Lisa wants the longest side of the garden to be exactly 6 m. a)How long is the plastic edging that Caitlyn will need to surround the garden? b) What will

Solving for X : Trigonometric Equations (13 Problems)

Use factoring, the quadratic formula, or identities to solve the equations. Find all solutions in the interval (0,2pi) 65. 3 sin²x - 8 sin x - 3 = 0 answer x=3.4814, 5.9433 67. 2 tan²x + 5 tan x + 3 = 0 answer x= 3pi/4, 7pi/4, 2.1588, 5.3004 69. cotxcosx=cosx ans. x=pi/4, pi/2, 5pi/4, 3pi/2 71. cos x csc

Finding the perimeter of a right triangle given hypotenuse

1. The hypotenuse of a 30-60-90 triangle is 9. Find the perimeter. 2. I am so lost with this one its not funny (-.6t/40) _______________ The displacement, d=-7e cos(√(pi/3)^2-0.36/1600) t) Should read: d= negative seven (e) to the negative .6t divided by 40, COS (pi divided

Right triangle trigonometry college algebraic

A. As a group, work together to submit the answers to the following problems. Use the Small Group Discussion Board to divide tasks, discuss strategies for solving problems, and check each other's work. The finished product should be one combined document for the entire group, showing all calculations and graphical representat

Travel in Kilometers

Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? Can you show me how you got the answer?

Find the angle which the roof lay on the front beam.

A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back bea

Review of previous posting

(See attached file for full problem description and diagrams) --- Need help with the following questions. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high.

Trigonometry: Close Encounters of the Third Kind

In the movie Close Encounters of Third Kind, there was a scene where the star, Richard Dreyfuss, was approaching Devil's Tower in Wyoming. He could have determined his distance from Devil's Tower by first stopping at point P, and taken a measurement of the angle from his location to the height of the tower of 13.5 degrees. He

Tangent sum formulas

Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum formulas but can be simplified by using the sine and cosine formulas. (Please show all work).

15 Trigonometry Problems : Angular Velocity, Shadows, Waves and Triangles

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

one-dimensional wave equation for a semi-infinite string

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!)

Vibrating String and d'Alembert's Solution in Wave Equation

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.

10 Trigonometry Application Word Problems: Angles and Lengths

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

Even and Odd Function

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.

Identities of Plane Trigonometry

Important Formulas and their Explanations (VI): Identities of Plane Trigonometry Pythagorean Relation Pythagorean Identities Pythagorean Identities

Trigonometric expressions simplified

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

Trigonometry Application Word Problems : Matrices, Incline, Magnitude and Area

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

Trigonometry Word Problems : Tan Function

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

Trigonometry questions

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

Trigonometry and nautical miles

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

Right angle trigonometry

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

Trigonometric equations

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

Trig Identifies and Equations: Tangent Sum Formulas and Tire Circumferences

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