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Trigonometry

Plane Trigonometry: Verifying Identities

1) Verify the following identities : a) sin(x+y)cos(x-y) + cos(x+y)sin ( x-y) = sin 2x b) cos2x = [cot^2 (x-1 )] / [ cot^2 (x+1) ] 2) Derive the identity for sin 3x in terms of sin x 3) Using the double-angle formula, find sin 120° . 4)Simplify the following expressions so that they involve a function of only on

Using Logarithms to Find the Area of Triangles

1) Using logarithms find the area of the following triangles : i) a = 12.7, b = 21.5,and c = 28.6 ii) c = 426, A= 45° 48' 36", and B = 61° 2' 13" iii) An isosceles triangle in which each of the equal sides is 14.72 in. and the vertex angle 47° 28' . 2) Find the radius of the inscribed circle and the radius of

Application of Trigonometry for Surveying

To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach, a surveyor measurers the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. If the beach is 950 yards long, what are the distances

Wheelchair Ramp and Trigonometry

A contractor is building a wheelchair accessibility ramp (see figure attached) for a business. Using your knowledge of right-triangle trigonometry, help advise him how to create a ramp whose dimensions will meet the specification needed that will allow wheelchair accessibility. Talk about the procedure the contractor will need t

Unit - 5 Individual Project (B)1

Unit 5 Individual Project - B [See the Attached Questions File.] 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. 2. Two boats leave the port a

Creating wheelchair ramp using right angle triangle trigonomotry

A wheelchair accessibility ramp for a business needs to be built. Using right-triangle trigonometry, help advise him how to create a ramp whose dimensions will meet the specification needed that will allow wheelchair accessibility. Talk about the procedure the contractor will need to follow to find the dimensions of the three si

Trigonometry function

The questions are in the attachment 1. The tide in a local coastal community can be modelled using a sine function. Starting at noon, the tide is at its "average" height of 3 metres measured on a pole located off of the shore. 5 hours later is high tide with the tide at a height of 5 metres measured at the same pole. 15

Trigonometry - Period and Amplitude

The model for the height of a tidal wave for a 24 hour period is given by H(t) = 1.25 + 0.85 cos 0.498(t - 1) where H(t) is the height of the tide in meters at a time t measured in hours from midnight. (a) What is the period of the wave? (b) What is the greatest height of the wave? (c) At what time will high tide first occur?

Pythagorean Theorem Proofs

There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the que

Pythagorean theorem application

Use the Pythagorean Theorem to determine if an angle is the right angle (3-4-5 triangle). What would you use the Pythagorean Theorem for? List one example either from work or personal life or any other application.

Techniques in Trigonometry

Please see the attached file. Demonstrate the techniques to use right triangle trigonometry. Apply critical thinking skills to the content of the course. Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture. If you were an architect, describe a specific situat

Perpendicular lines - Geometry and Coordinate Geometry

"How can you determine if two lines are perpendicular?" This is what I understand out of it By definition, perpendicular lines intersect each other at 90 degree angle. In co-ordinate geometry, product of their slopes is -1.

Pythagorean Theorem

There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the que

Building a Wheelchair Accessibility Ramp with Trigonometry

A contractor is building a wheelchair accessibility ramp (see figure) for a business. Using your knowledge of right-triangle trigonometry, help advise him how to create a ramp whose dimensions will meet the specification needed that will allow wheelchair accessibility. Talk about the procedure the contractor will need to follow

Using Trigonometry to Build a Wheelchair Ramp

A contractor is building a wheelchair accessibility ramp (see figure) for a business. Using your knowledge of right-triangle trigonometry, help advise him how to create a ramp whose dimensions will meet the specification needed that will allow wheelchair accessibility. Talk about the procedure the contractor will need to follow

Trigonometry Word Problems : Radius and Circumference of the Earth

Please see the attached file. 1 The engine of a sport car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. 2 We will redo Eratosthenes's famous calculations of the measurements of the Earth that he made in 236 BC. There are two cities on the surface of the Ear

Trigonometry

1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. Show work here: 2. Two boats leave the port at the same time. The first boat travels due ea

Trigonometry has many applications in the real world.

Please help with the following problem. Provide at least 200 words. Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture. If you were an architect, describe a specific situation in which you could use right triangle trigonometry to help you design a new hospital

Pythagorean Theorem : Point of Tangency

Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TVs in homes within a certain radius. Because Earth is spherical, these signals don't get picked up beyond the point of tangency which could be calculated using the Pythagorean Theorem" Question: Can you describe how you would calculat

Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch.

Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal In your pos

Solving Trigonometic Equations

Please see the attached file for the fully formatted problems. 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. Show work here:

Solving Trigonometric Equations

Please give detailed explanation. Please see attached file for full problem description. Solve, finding all solutions in [0, 2) and [0, 360). Express solutions in both radians and degrees. tan  = 1 / 3

Solving Trigonometric Equations

Solve, finding all solutions in [0, 2) or [0, 360). 12cos2  + 8cos  + 1 = 0 A).  = 60 and 240&#6161

Trigonometry : Angle Conversions and Word Problems

Please see the attached file for the fully formatted problems. MTH212 Unit 5 Individual Project - B 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full

Trigonometric Equations

.............................................................................................................. Solve the problem cos 5x / 2 + cos 3x/2 2 sin 2x sin x/2 2 sin 2x sin x 2 cos 2x 2 cos 2x cos x/2 ......................................................................................................

Trigonometry Word Problems for Baseball

The distance from home plate to dead center field in Sun Devil Stadium is 401 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it first base to dead center field. Solve the problem. One number is 6 less than a second number. Twice the second number is 48 more than 5 tim