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    Trigonometry

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    Problems in calculus and trigonometry

    Do the following problems: (1) Find the value of twice the integral of the function u^(-1) + 3*[u^(-2)] over the interval [-3, -1]. (2) Show that cot(pi/3) = 1/[sqrt(3)], where "sqrt" stands for "square root." (3) Obtain the Maclaurin series for the function f(x) = sin x. (4) Obtain the Maclaurin series for the funct

    Values of tangent (tan A) of an angle

    Consider the graph of y = tan x (see attached). (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this?

    The Application of Trigonometry

    Please view the attached file to see the diagram which accompanies this question. 1. Find the length L from point A to the top of the pole. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diam

    Trigonometry

    A regular octagon is inscribed in a circle of radius 15.8 cm. Find the perimeter of the octagon.

    Geometry Applications

    Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of

    Pythagorean (Pythagorus) Theorem Question

    A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet.

    Consider the graph of y = tan x.

    1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this? 2. A nautical mile depends on l

    Polar Equations : Identify the curves by finding a cartesian

    Solve step by step showing all work and give answer. I) Identify the curves, (16-20) by finding a cartesian equation for the curve. You know, using x=rcostheta, y = rsintheta, etc..... 16) rcos(theta)=1 18) r=2sin(theta) + 2cos(theta) 20) r=tan(theta)sec(theta) II)Find a polar equation for the curve represented b

    Right Triangle Trigonometry Application Word Problems

    An airplane flies at a heading of 130° for 30 minutes and then changes to a heading of 220° and flies for 2 more hours. If the average speed of the plane is 250 miles per hour and the wind is negligible, find: a. The distance of the plane from the starting point. b. The heading the plane would have taken to get directly

    Polar Coordinates (25 Problems)

    Please do problems 1,2,3,4,5,6,7,9,11,15,17,19,18,21,23,25,22,26,29-45 odd, 55,57,61, and 65. Please see the attached file for the fully formatted problems.

    Applications of Trigonometry : Latitude, Longitude and Nautical Miles

    2. A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius. The formula is N(P) = 6066 - 31 cos 2P, where P is the latitude in degrees. (a) Using the Cybrary and other course resources, find the exact latitude (to 4 decimal places) of where you live, used to live, work, or used to

    Find the equation of a tangent given parametric equations

    1.) Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter x= cos t + sin 2t, y= sin t + cos 2t (t=0) 2.) Find dy/dx and d^2/dx^2 for which values of t is the curve concave upward x= t + ln t, y = 1 - ln t

    Using Trigonometry to Find Lengths

    1. Find the length L from point A to the top of the pole. See attachment for diagram. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels

    Prove Trigonometric Identities

    1. secx/csc/ + sinx/cosx = 2 tanx 2. 1+cscx/cscx = cos²x/1-sinx 3. sin2x = 2cotx/csc²x 5.tanx-tany/cotx-coty = -tanxtany 6. secxcotx=cscx

    Travel in kilometers

    Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point? Please show your work to help me understand how to do this.

    Steady-state value of voltage across a capacitor

    A full-wave rectified sine voltage v(t) with an amplitude of 10 V and period 10 seconds is applied to an RLC series circuit with R = 4 ohms, L = 2H, and C = 0.2 F. Find the first six terms of the steady-state value of the voltage across the capacitor. Use MATLAB (if possible, if not, ok).

    Trigonometry Application Word Problems - Fire Center

    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 meteologists attempts to forecast

    Trigonometry Application Word Problems

    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

    Trigonometry Applications to Word Problems

    You have been contacting cartographers and land surveyors to explore how they utilize graphs of functions in their work , and have learned that they create formulas to calculate size and mass. Complete the following problems: 1. A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat .