Simplify using the trigonometric identities
simply Cos(2x)csc(2x)- cos(2x) using trigonometry identities.
Trigonometry
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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 θ/(1 - cos θ)] - [(1 + cos θ)/sin θ] =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 θ = - 2
Convert the equation to Cartesian coordinates: r sin θ = - 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.
Limit of Trigonometric Function : L'Hopital's Rule
Lim of theta as theta approaches zero of (cos theta - 1) / sin theta Please provide a detailed, step-by-step solution so that I can understand what is happening and will be able to solve similar problems in the future on my own. Thank you.
Trigonometry : Word Problems
Q1. A glass crystal sculpture is made in the shape of a regular octagonal prism with 10 cm sides. Each of the lateral faces is square. To avoid breakage in shipment, the piece is padded with plastic foam beads when it is packed in its square-based rectangular box. The layer of beads must be at least 1 cm thick on all sides of
Trigonometry and vectors
A force of 800 lbs acts in an upward direction of 40 degrees with the floor. Draw this force as a vector and determine its horizontal and vertical components.
TRIGONOMETRY
A handicap ramp is 5.26 meters above the ground. What will the length of the ramp if it makes an angle of 23 degrees with the floor?
What is the angle the beam makes with the wall?
A beam 25 feet long leans against a wall. If the top of the beam rests at a point on the wall 17.5 feet above the floor, what is the angle the beam makes with the wall?
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?
Construct a one-to-one function
Problem: Construct a one-to-one function from (-1,2) into [0,1]. No need to prove.
Trigonometric Differentiation
G(x) = (4-cos3x)/(x^2) Could you please include steps so that I may learn to do it myself? Thanks.
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