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Trigonometry

Trigonometry Distance Lengths

A length of rope 168 feet stretches from a bolt in the floor to the peak of an 87 foot radio tower. What is the distance from the floor at the radio tower base to the bolt? What angle does the rope make with the floor?

Solve the Wave Equation

Show step by step work and explanation of the solution. (Answer is provided in the attachment.) Just #8, please.

Measure Height of Mountain : Angle of Elevation

To measure the height of a mountain a surveyor takes two sightings of the peak at a distance of 900 meters apart on a direct line to the mountain (see attached picture). The first observation results in an angle of elevation of 47 degrees, whereas the second results an angle of elevation of 35 degrees. If the transit is 2 meters

Trigonometry Question: Solving the Triangle

Solve the triangle, if possible. C = 35°30' a = 18.76 c = 16.15 Which is the correct answer? A = 42°25', B = 102°05', b = 25.19 No solution A = 42°25', B = 102°05', b = 27.20; A' = 137°35', B' = 6°55', b' = 3.35 A = 102°05', B = 42°25', b = 17.52; A' = 6°55', B' = 137°35', b' = 26.19.

Trigonometry : Solve the Triangle

Solve the triangle, if possible. B = 24.4° C = 102.9° b = 38.62 Which is the correct answer? A = 50.7°, a = 93.13, c = 76.37 A = 50.7°, a = 91.13, c = 74.37 A = 52.7°, a = 76.37, c = 93.13 A = 52.7°, a = 74.37, c = 91.13

Trigonometry : Find the Missing Angle

Find the missing parts of the triangle. (Find angles to the nearest hundredth of a degree.) a = 162 yd b = 185 yd c = 323 yd Which is the correct answer? A = 19.99, B = 11.49, C = 148.52 A = 19.99, B = 22.98, C = 137.03 A = 22.98, B = 19.99, C = 137.03 No triangle satisfies the given conditions.

Trigonometry - Angle and Distance

A plane flying a straight course observes a mountain at a bearing of 35.3° to the right of its course. At that time the plane is 9 km from the mountain. A short time later, the bearing to the mountain becomes 45.3°. How far is the plane from the mountain when the second bearing is taken (to the nearest tenth of a km)?

Trigonometry Word Problem: Angle and Distance

Starting at point A, a ship sails 24 km on a bearing of 211°, then turns and sails 33 km on a bearing of 302°. Find the distance of the ship from point A. Which is the correct answer? 57 km 73 km 16 km 40 km

Finding the magnitude and direction angle of a vector

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. (√2,-1) Which one is the correct answer? √3; 305.3 3; 324.7 √3; 324.7 3; 125.3

Applications of Trigonometry and Vectors

Please see the attached file for the fully formatted problems. 1. Find the indicated part of each triangle ABC. C = 118°, b = 130km, a = 75km; find c The correct answer to this problem is 180 km how did they come up with that answer? 2. Height of a Balloon: The angles of elevation of a balloon from two points A and B on

Trigonometry Equation Interval Solution

Solve the equation for the interval [0, 2л). sin^2 x - cos^2 x = 0 Which is the correct answer? x = л/4, л/3 x = л/4, 3л/4, 5л/4, 7л/4 x = л/4 x = л/4, л/6

Solving a Trigonometry Equation

Solve the equation for solutions in the interval [0, 360). cos 2x= √3/2 Which is the correct answer? x = 15, 165, 195, 345 x = 30, 90, 150, 270 x = 0, 120, 180, 240 x = 105, 165, 285, 345.

Trigonometry

Find the exact value, given that sin A = -4/5 with A in quadrant IV tan 2A Which is the correct answer? - 7/24 24/7 - 24/7 7/24

Trigonometry

Solve the equation for solutions in the interval [0, 360). tan 4x = 0 Which is the correct answer? x = 33, 57, 147, 237, 327 x = 0, 90, 180, 270 x = 0, 45, 90, 135, 180, 225, 270 x = 0, 45, 90, 135, 180, 225, 270, 315

Inverse Circular Functions and Trigonometric Equations

1. Solve csc^2θ - 2 cot θ = 4 for solutions over the interval [0°, 360°]. Express approximate solutions to the nearest tenth of a degree. Could you please show me step by step to see how to get the correct answer? The correct answers are (18.4°, 135°, 198.4°, 315°)

Trigonometry - Match Functions With Graphs

Match the attached functions with their graphs. Thank you.. Match the function with its graph. Which is the correct answer? 1) y = 1 + sin x 2) y = 1 + cos x 3) y = -1 + sin x 4) y = -1 + cos x A B C D 1A, 2D, 3C, 4B 1A, 2B, 3C, 4D 1A, 2C, 3D, 4

Unit circle proof

1) Prove from the unit circle that sin²⊖ + cos²⊖ = 1. Using the result describe the equation for which x = 3 + 2cos⊖, y = 1 + 3sin⊖. 2) Using problem one simplify sin²⊖/(1 + cos⊖) + sin²⊖/(1 - cos⊖)

Trigonometric Identities

If you would please give me each step to solve these problems so I can get a better understanding how to solve these types of problems would be very helpful. Thanks. Graph each expression and use the graph to conjecture an identity. Then verify your conjecture algebraically. 1. sec x - sin x tan x Verify that each equat

Period, Amplitude, Range, Y-intercept and Phase Shift

Develop the solutions for the following problems: 1.) Graph the function y = -1 + 2sin(x + π) over a 2-period interval. a. What is it's period? b. What is its amplitude? c. What is it's range? d. What is the y-intercept of it's graph? e. what is it's phase shift? 2.) The formula for the up and down motion o

Trigonometry : Word Problem

From a boat on the lake, the angle of elevation to the top of a cliff is 16° 10' If the base of the cliff is 1216 feet from the boat, how high is the cliff (to the nearest foot)? Which is the correct answer? 353 ft 356 ft 366 ft 363 ft

Trigonometry : Word Problems

Please see the attached file for the fully formatted problems. Find the exact trigonometric function value. sec 2655 Solve the problem. From a boat on the lake, the angle of elevation to the top of a cliff is If the base of the cliff is 1216 feet from the boat, how high is the cliff (to the nearest foot)? Solve the

Trigonometry Quadrant Functions

1. If cos θ = 4/5 and θ is in quadrant IV, find the values of the trigonometric functions of θ. 2. Suppose θ is in the interval (90º, 180º). Find the sign of each function value. (a) cos θ/2 (b) cot(θ - 180º) 2. Use the reciprocal, quotient, and Pythagorean identities to give three expressions that complete t