Trigonometry

moivre's formula

Take corresponding points on two steps. The further apart these two points - the more steps between them - the more accurate the result will be.

Measure the horizontal distance between the two points (x) and the difference in height (y). If theta represents the angle of inclination of the staircase, then tan(theta) = y/x is the measure of the slope or steepness of the staircase.

To calculate the angle that the staircase makes with the floor, theta = arctan(y/x).

tan-1(0.4877) = 25.99849161 or about 26 degrees

Groundwater gradient is calculated by the equation: i=dh/dl Where: i= groundwater gradient d= the change in, or Delta h= groundwater head l= length of casing in the well Using this you would take two wells, use the well log to determine the length (ie. depth) of each well, and subtract the first from the second. That's dl. On a particular date or time (must be the same time/date for both wells), you determine the groundwater elevations in the two wells and subtract the first from the second. That's dh. Divide dh by dl, the answer is your gradient. The gradient is dimensionless, if it's positive groundwater is flowing upward (vertically) in the direction of the first well to the second well, if it's negative, groundwater is flowing downward (vertically) in the direction of the first well to the second well.

Trigonometry is the study of plane and spherical triangles. Plane trigonometry deals with 2 Dimensional triangles like the ones you would draw on a piece of paper. But, spherical trigonometry deals with circles and 3 Dimensional triangles. Plane trigonometry uses different numbers and equations than spherical trigonometry. There's plane trigonometry, where you work with triangles on a flat surface, then there's spherical trigonometry, where you work with triangles on a sphere.

Ang layunin ng trigonometrya ay upang lumikom ng mas maraming tumpak na sukat ng distansya bibigyan ng maliit na impormasyon tungkol sa mga anggulo o iba pang mga distansya. Ito ay ginagamit sa engineering, astronomiya, pagpaplano ng lungsod, pagbalangkas at pagdidisenyo, at construction.

The purpose of trigonometry is to gather as much accurate measurements of distances given little information about angles or other distances. It is used in engineering, astronomy, city planning, drafting and designing, and construction.

Trigonometry helps surveyors determine sides of a triangle which are either inaccessible or difficult to access. Knowing the length of a single base line enables the surveyor to define the other elements of the triangle by measuring the angle to the inaccessible points from accessible points.

Consequently the heights of trees and tall buildings can be determined by knowing the distance to the base of the tree or building. Similarly locations separated by, for example, rivers or busy roads can be determined by angular measurement from positions of known distance apart on the other side of the obstruction.

Survey control marks used for the mapping of countries were in the past established by triangulation from a known base line.

These days much of the survey control is undertaken using GPS equipment which uses satellite signals to determine positions on earth. However the theory behind the location of these positions also uses trigonometry and spherical trigonometry.

Usually it's used to find a missing angle or length of a right triangle. Of course there is more to trigonometry. Any way you can use sine, cosine, and tangent, to fine the missing angle or length

The purpose of this lesson is to review angle measures, right triangles, and the geometry of the unit circle.

Compute angles in radians and degrees and convert between the two.

Work with similar triangles.

Understand basic trigonometric functions.

Make simple computations for special angles.

The purpose of trigonometry is to gather as much accurate measurements of distances given little information about angles or other distances. It is used in engineering, astronomy, city planning, drafting and designing, and construction.

pota ka

The wind correction angle for a true course of 30 degrees, with an airspeed of 300, with a wind direction of 90, and with a wind speed of 50, is -8.3 degrees. The indicated course must then be 21.7 degrees.

CCORRECTION = sin-1 (VWIND sin (CWIND - CACTUAL) / VINDICATED)

A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. However, I am assuming the question is about sin (5pi/12). If not, please resubmit your question spelling out the symbols as "plus", "minus", "times"

sin(5pi/12) = sin(pi/4 + pi/6) = sin(pi/4)*cos(pi/6) + cos(pi/4)*sin(pi/6)

= √2/2*√3/2 + √2/2*1/2 = √2(√3 + 1)/4

If you look up at something and it is at 45 degrees then the distance away from the base is equal to its height. You are 50 feet from the pole.

Trigonometry is not some sort of stand-alone academic subject but an integral (!) part of Mathematics as a whole - a concept apparently missed by many 'Answers' questioners. Rather than single examples, Trig is just one of many mathematical techniques used in:

Surveying. Navigation. Cartography. Geology. Mining & deep-well drilling. Civil and Mechanical Engineering design. Electrical & Electronic Circuit analysis and design. Harmonic Analysis (used in sound, vibration, oceanographic and electronic research to name 4 fields). Sonar and Radar signal generation, collection & analysis...... Astronomy: e.g. the Parsec used for measuring deep-space distances is a trig-based unit. ...

The man is 5.96 feet tall and the lamp is 17.88 feet high.

Two sides have the same length as each other. The other side may be shorter or longer in length than the other two sides.

architecture

chemistry

engineering

mathematician

carpenter

plumber

electrician

computer programmer

graphics designer

Web site designer

graphic artist

3D animator

computer games developer

drafter

interior designer

landscape architect

lawn care specialist

mason

chemist

technical translator

patent scientist

surveyor

building inspector

building contractor

sound engineer

acoustics engineer

wave scientist

oceanographer

biologist

choreographer

theater lighting specialist

taxi router

delivery company router

craftsman or -woman

metallurgical engineer

teacher

philosopher

historian

artist

manufacturer

telecommunications engineer

packaging specialist

etc.

The isosceles triangle theorem states: If two sides of a triangle are congruent, then the angles opposite to them are congruent Here is the proof: Draw triangle ABC with side AB congruent to side BC so the triangle is isosceles. Want to prove angle BAC is congruent to angle BCA Now draw an angle bisector of angle ABC that inersects side AC at a point P. ABP is congruent to CPB because ray BP is a bisector of angle ABC Now we know side BP is congruent to side BP. So we have side AB congruent to BC and side BP congruent to BP and the angles between them are ABP and CBP and those are congruent as well so we use SAS (side angle side) Now angle BAC and BCA are corresponding angles of congruent triangles to they are congruent and we are done! QED. Another proof: The area of a triangle is equal to 1/2*a*b*sin(C), where a and b are lengths of adjacent sides, and C is the angle between the two sides. Suppose we have a triangle ABC, where the lengths of the sides AB and AC are equal. Then the area of ABC = 1/2*AB*BC*sin(B) = 1/2*AC*CB*sin(C). Canceling, we have sin(B) = sin(C). Since the angles of a triangle sum to 180 degrees, B and C are both acute. Therefore, angle B is congruent to angle C. Altering the proof slightly gives us the converse to the above theorem, namely that if a triangle has two congruent angles, then the sides opposite to them are congruent as well.

The two branches of trigonometry are plane trigonometry, which deals with figures lying wholly in a single plane, and spherical trigonometry, which deals with triangles that are sections of the surface of a sphere.

One example of an oblique spherical triangle is obtained by choosing any two points on the surface of the earth, perhaps two cities. (The earth is assumed to be a perfect sphere.) Now connect these two points with the shortest path possible on the surface of the earth. On a plane, the shortest path is a straight line, but a straight line connecting our two cities would pass below the surface of the earth. Instead, pass a plane through the center of the earth and the two cities. The intersection of this plane with the sphere is a great circle. (If you have a globe, stretch a string taught while it touches both cities, and the string will follow the great circle.) There are actually two ways to connect the cities... the "short" way and the "long" way. (The "long" way goes almost completely around the earth if the cities are close together.) Choose either one. Now, connect city one to the north pole with another great circle. This great circle is a meridian line (a line with the same longitude at all points). Again, you can choose the short or the long way around. (Note, if you choose the long way around, then the longitude of the line shifts abruptly at the south pole by 180 degrees.) Also connect city two to the north pole with a great circle. And you are done.

The three lines you have chosen, make a spherical triangle.

Why bother to make this triangle? One practical application is to use spherical trig with this spherical triangle. Given the latitude and longitude of the two points, one can easily compute the distance (along the surface of the earth) between the two cities.

The measure of the angle of a cube is pi/2 steradians.

The circumference of an 18 inch diameter wheel is 3.14159 times 18 inches, or about 4.712 feet. 80 miles per hour is 80 times 5280 divided by 60, or about 7040 feet per minute. Divide 7040 by 4.712 and you get about 1494 revolutions per minute.

Precalculus and/or calculus.

Period = (1/frequency) = 1/104 = 10-4 = 0.0001 second = 0.1 millisec = 100 micro sec.

I am not at all sure that there are any rules that apply to integers in isolation. Any rules that exist are in the context of binary operations like addition or multiplication of integers.

tria = three

gonia = angle

metron = measurement

kagaguhan lng ang math :D