Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

Trigonometry is the study of triangles. The name comes from Greek trigonon "triangle" + metron "measure". The field emerged during the 3rd century BC from applications of geometry to astronomical studies. Trigonometry is a branch of mathematics that solves problems relating to plane and spherical triangles. Its principles are based on the fixed proportions of sides for a particular angle in a right-angled triangle, the simplest of which are known as the sine, cosine, and… Read More

Identities are "equations" that are always true. For example, the equation sin(x) = cos(x) is true for x = pi/4 + kpi radians where k is any integer [ = 45 + 180k degrees], but for any other value of x the equation is not true. By contrast, the equation sin2(x) + cos2(x) = 1 is true whatever the value of x. This is an identity. Read More

In advanced mathematics, familiar trigonometric ratios such as sine, cosine or tan are defined as infinite series. For example, sin(x) = x - x3/3! + x5/5! - ... Such series are used to calculate trig ratios and the proof of their their convergence to a specific value depends on calculus. Read More

Every person who went to secondary school in the UK (and probably all other countries). They may not have learned much and retained even less but they must have studied it. Read More

Your question is insufficiently precise, but I'll try to answer anyway. "Sine squared theta" usually means "the value of the sine of theta, quantity squared". "Sine theta squared" usually means "the value of the sine of the quantity theta*theta". The two are not at all the same. Read More

Angles are represented by capital letters. Small letters refer to sides. Read More

Since the word 'equals' appears in your questions it might be what is called a trigonometric identity, in other words a statement about a relationship between various trigonometric values. Read More

it is 0because on the unit circle 270 is the negative y axis (0,1) the x coordinate is the cos value Read More

The plicae circulares slow down the food passing along the intestines. Because of their shape there is an increase in the surface area between the food and the walls on the intestines which allows more efficient absorption of nutrients from the chyme - the stuff that comes from the stomach. Read More

Jya, koti-jya, and utkrama-jya are trigonometric functions. See the Related Wikipedia Link isted below for more information: Read More

Not a plane triangle. With a triangle on a convex surface (eg on the surface of a sphere), the answer is Yes. Read More

It is not! So the question is irrelevant. Read More

It appears that you got distracted by the 'A B C D E F', and forgot to give us the list of choices. The ratio of the lengths of the two legs of a 30-60 right triangle must be one of these: -- sqrt(3) -- 1.732 (rounded) -- 1/3 sqrt(3) -- 0.577 (rounded) -- 1/sqrt(3) Read More

One example of an astronomer's use of trigonometry is determining the distance to a star by triangulation. Read More

In track for high jump we did something with the curve of the run that you take to approch the jump. Apparently it shows how the speed of you run propells you over the bar because its a circle... lol hope this gives you a idea. Read More

Yes, at k*pi radians (k*180 degrees) where k is any integer. Read More

The word, trigonometry" is derived from trigon = triangle + metry = measurement. It is based on the study of angles of a triangle and their properties. Although trigonometric ratios are often introduced to students in the context of triangles, their properties for all angles. For example, trigonometric functions are well defined for angles with negative values as well as for more than 180 degrees even though no triangle can possibly have angles with such… Read More

The distance formula using Pythagorean theorem: trig values trig formulas triangle abc trigonometric concepts trigonometric formulas. Read More

The field emerged during the 3rd century BC from applications of geometry. Trigonometric functions were among the earliest uses for mathematical tables. Read More

No one in particular because trigonometry has evolved over thousands of years with many ancient and modern mathematicians making their own discoveries and contributions to the subject. Read More

The domain of cosine is all real numbers, its range is [-1,1], and its period is 2π radians. Read More

Same as anywhere: opposite to a clock's conventional rotation. Mathematicians like to put x = 0º on the x-axis (so y = Sin x = 0) and measure anticlockwise from there. Read More

It is ln[1+sqrt(2)] = 0.8814, approx. Read More

The length of the hypotenuse would be approximately 24.41 and the angle, theta, would be approximately 35. Read More

Cosine cannot have this kind of high value, it ranges from -1 to +1 Read More

180/10 = 18 square meters of cross-sectional area. Since the prism is a triangle, that means that the height x width = 36, since A = (H*W)/2 Therefore you could say 6x6, 18x2, 4x9, or even 36x1. Read More

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. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y) 2. Here, it is not clear whether… Read More

It is: tan(86.05)*5 = 72.411 metres to 3 decimal places Read More

You need to know the trigonometric formulae for sin and cos of compound angles. sin(x+y) = sin(x)*cos(y)+cos(x)*sin(y) and cos(x+y) = cos(x)*cos(y) - sin(x)*sin(y) Using these, y = x implies that sin(2x) = sin(x+x) = 2*sin(x)cos(x) and cos(2x) = cos(x+x) = cos^2(x) - sin^2(x) Next, the triple angle formulae are: sin(3x) = sin(2x + x) = 3*sin(x) - 4*sin^3(x) and cos(3x) = 4*cos^3(x) - 3*cos(x) Then the left hand side = 2*[3*sin(x) - 4*sin^3(x)]/sin(x) + 2*[4*cos^3(x)… Read More

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… Read More

It has 8 factors if you include complex factors. Otherwise there are only 4. Read More

The exact value of 60 degrees would be 1/2. This is a math problem. Read More

"IS" not "are"! The numerical study of angles and their functions. Read More

Anything involving a square law automatically invokes a quadratic function by definition, even if the equations is as simple as y = x^2, such as the area of a square (hence the names). At a more advanced level, quadratic and higher-order functions crop up in all manner of real-life science and engineering problems. Read More

There is no single formula: there are several, depending on what information you have and what you wish to know. Read More

Sin, Cos and Tan is the formula for sine. A right-angled triangle is a triangle in which one of the angles is a right-angle. The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle. Read More

Can't draw diagrams on a text editor! At its simplest you need a compass and a long tape-measure. Establish a base line of known length along the bank between two points A & B. Measure its compass bearing. Now from Point A take a bearing as near as possible at 90º to the base line to a distinct point on the far bank - a post, tree-trunk, distinctive boulder, say. Call it Point C. As… Read More

As diverse as those of any trig function, from simple triangle measurements to complex harmonic analysis (sound etc), electrical principles, and umpteen other practical uses. Read More

One area where it is of vital importance although "behind the scenes" in complex computer programmes, is in Medical Ultrasound - in designing the transducers, generating the signals and analysing the echoes to produce the images and calculating the dimensions of the organs under investigation. Similarly with Magnetic Resonance Imaging and X-Ray machines. The trig functions in such fields, especially in "beam-forming" (focussing) the signals and analysing the returning echoes, is extremely complex and intensive… Read More

Angle of elevation: tangent angle = opposite/adjacent and by rearranging the given formula will help to solve the problem Read More

Using the formula: tangent = opposite/adjacent whereas tangent angle = height/ground distance, will help to solve the problem Read More

to give the basics for astronomy, distance calculation etc Read More

If you mean: 2x-5 = 5*(2x-5)^2 then 20x^2-102x+130 = 0 and by using the quadratic equation formula x = 5/2 and x = 13/5 Read More

Yes, it does. For an angle greater than 45 degrees (and less than 90), TAN will be more than 1. TAN of 50 is about 1.19. Read More

The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle. Read More

No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected. Take, for example, cos(60 degrees), which equals POSITIVE 1/2. If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE… Read More

No because Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides. Read More

You can calculate that on any scientific calculator. Just make sure that the calculator is set to "degrees". As a check, the sine of 90Â° should come out as exactly 1. Read More

Trigonometry - album - was created in 1997. Read More

Trigonometry is an extremely large field (and a branch of geometry) which deals with the elucidation of the sides of a triangle based on its angles. Some common trigonometric ratios (relating to a right-angled triangle) are as follows: sine of an angle = length of opposite side/length of hypotenuse cosine of an angle = length of adjacent side/length of hypotenuse tangent of an angle = length of opposite side/length of adjacent side Of course other… Read More

It starts with the simple Right-Angled Triangle and its 3 simple ratios: Sine, Cosine, Tangent... Read More

Basically it is working out the properties of triangles and angles of various polygons. Read More

1. A cosine can be calculated as the length of the adjacent side divided by the length of the hypotenuse of a right angled triangle. The tangent measure is the length of the opposite side divided by the length of the adjacent side. As the cosx = 0.6 = 3/5 then we are dealing with a right angled triangle where the adjacent side measures 3 units and the hypotenuse 5 units - thus the opposite… Read More

The exact value is an irrational number, and can't be written on paper with digits. 0.34202 is less than 0.000042 percent wrong. Cos(70 deg) is an irrational number and it is impossible to give its exact value. Read More

If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4. Read More

sin is short for sine, cos for cosine, tan for tangent. These functions are defined in several ways; one way is with a unit circle - a circle with radius 1, in which angles are measured starting on the right, and then counterclockwise. In this case, the sine is the y-coordinate on the circle - as a function of the angle. For example, for an angle of 0Â°, the y-coordinate is 0; for an angle… Read More

The cosine of 8 degrees is 0.99026806874157031508377486734485 Read More

Trigonometry is used to find the properties of triangles and Pythagoras' theorem is used to find the lengths and angles of right angle triangles. Read More

They are: opposite, adjacent and hypotenuse sides for a right angle triangle Read More

A line in geometry has length (and location) but no width or depth. It's not itself a trigonometrical "being" but join 3 straight lines to make a Triangle, and Hey Presto! - you have Trigonometry! Read More

It would have been used by its designers to calculate all sorts of dimensions from component lengths to calculating the forces given by the combined wind pressure and occupant loads on the structure. Read More

It works out that each apple pie cost 16 and that each pumpkin pie cost 20 Read More

The [in]clinometer give angles in the vertical plane so when those are combined with other measurements of azimuth angle and distances, may be used to calculate the dimensions not physically accessible for direct measurement. Since we've obtained angles and lengths we need trig. to do the sums. Read More

Many ways in designing the project, such as solving the structure's force-polygons and calculating component dimensions. Surveying for design, site setting-out and quality-control. Read More

In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse. Read More

If you also know its shadow then you can work out the angle of elevation Read More

In a right triangle, its Opposite/Hypotenuse I always use: Soh (sin, opposite/hypotenuse) Cah (cosine, adjacent/hypotenuse) Toa (tangent, opposite/adjacent) Hope this helped! :) Read More

Because if you construct a right triangle in which the acute angles are 30Â° and 60Â°, you'll find that the side adjacent to the 60Â° angle is 1/2 the length of the hypotenuse, which is how you apply the definition of the cosine. Read More

Start with an equilateral triangle with all sides of length 2 units and all angles of 60 degrees. Draw the altitude from the apex (top vertex) to the base. Since this is an equilateral triangle, it is easy to show that this line bisects the base. So now you have a right angled triangle, with a base of 1 and a hypotenuse of 2. Therefore, by Pythagoras, its vertical height is sqrt(3). Then tan(60) =… Read More

The relationship between an angle and the triangle formed by it is always constant. This is also why sin cos and tan obtained from the unit circle can be applied to all triangles with the same angle. All that matters is the ratio of the sides, so the calculator can "pick" any length for one side, and use that and the angle to find the other side(s). This answer will be the same regardless of… Read More

Unlike equations (or inequalities), identities are always true. It is, therefore, not possible to solve them to obtain values of the variable(s). Read More

It is the study of triangles and their properties. The word 'trigonometry' means three measurements. Read More

Radius of earth = 6,371,000 metres 13,168 miles = 21,191,841.792 metres 35 degrees 4 minutes = 35.0667 degrees 106 degrees 36 minutes = 106.6 degrees Then > Circumference of circle of latitude 35 degrees 4 minutes North: = (Earth radius * cos 35.0667) * 2 * pi = 32,764,060.7432 metres Degrees of longitude from start point: = 21,191,841.792 / 32,764,060.7432 = 232.84852 degrees west of 106.6 degrees west of Greenwich meridian = 339.44852 degrees west… Read More

There are many careers that use trigonometry: Engineers Architects Artists Physicists Astronomers Draftsman Craftsman Pharmacist Financial Analyst Read More

The question cannot be answered because you have not specified who "he" was and I am not about to start guessing. Besides, why would anyone have a trigonometric function on their hand? Whether it was peaceful or not! Read More

Well, 4.5 x 0.15=0.675, so it would be 675,000 dollars Read More

It is a trigonometric function whose argument is the number theta. Read More

'csc' = 1/sin 'tan' = sin/cos So it must follow that (cos) (csc) / (tan) = (cos) (1/sin)/(sin/cos) = (cos) (1/sin) (cos/sin) = (cos/sin)2 Read More

It will be in 3rd Quadrant because cosine and sine both are negative in 3rd Quadrant Read More