Trigonometry

No

If you have an angle then the length of the side OPPOSITE that angle divided by the length of the HYPOTENUSE. (O/H)

(HYPOTENUSE is the side opposite the 90 degree angle)

or (y/x)

and a lot of other cool ways.

Sin(330) = -0.5

Why not? Just a second integration. Drop the constant.

int[- cos(x)] dx

the negative implies - 1 and can be brought out side the integrand

- int[cos(x)] dx

= - sin(x) + C

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Fourier analysis began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions.

The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis.

Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation.

If you want to find out more, look up fourier synthesis and the fourier transform.

2 + tansquareA + cossquareA

Surveying instrument of high precision, can measure both vertical and horizontal angles, unlike a level telescope which is limited to the flat angles. The name is believed to come from the Greek- meaning, The Eye of God.

[French pique-nique, probably reduplication of piquer, to pick]

There is no reliable etymology for the word picnic, with the original use of the word lagging about three hundred years behind the first descriptions of alfresco (open air) dining. From about 1340 until the very early 1800s, there are three contextual descriptions of picnics, whether or not the word is actually used: a pleasure party at which a meal was eaten outdoors; a hunt assembly; and an indoor social gathering or dinner party. An outdoor meal in a garden is described in Italian literature by Giovanni Boccaccio in a poem that dates from about 1340. Sixty years later a similar event occurs in one of Geoffrey Chaucer's Canterbury Tales. It seems certain that the assemblée, or meal served during the hunt that is described and illustrated in the hunt manual of Jacques du Fouilloux's La Vénerie (Hunting) (1560) and George Turberville's The Noble Arte of Venerie (1575), are picnics in all but name. By 1692, the concept of the alfresco meal shifted, and when cited in Gilles Ménage's Dictionnaire du Etymologique de la Langue Françoise (Etymological dictionary of the French language) piquenique is assumed to be of unknown origin, but means un repas où chacun paye son écot (a meal where each pays his share). By 1750, Ménage's editors suggest that piquenique may be of Spanish origin and that it appeared in 1664 in a French translation of works by Francisco Quevedo. Oliver Cromwell, Lord Protector of Great Britain, had a dinner served on the grounds of Hyde Park in 1654. Samuel Pepys, the English diarist, ate many meals while boating on the Thames or sitting on its banks. These are picnics in all but name, but they are only recorded as a dinner alfresco. The Oxford English Dictionary says that the word "picnic" originally referred to fashionable social entertainment in which each person contributed a share of the provisions, and says that the first recorded use of "picnic" in English appears in 1748 in a letter from Lord Chesterfield to his son, in the sense of an assembly or social gathering. It seems that the word was used in this sense widely in Germany, as Chesterfield's son was in Berlin at the time. A subsequent mention occurs in a letter from Lady M. Coke to Lady Stafford in 1763 from Hanover. Gustaf Palmfelt, a Swede, in a 1738 translation into Swedish used "picnick" (in the sense of an assembly); Swedish continues to use "picnick" and suggests that it is of French or English origin. Larousse Gastronomique (2002) states that 'picnic' is a contraction of pique (to pick), piquante (sharp or pungent), and nique (of small value). This suggestion seems commonsensical, but it is guesswork based on the technique of word formation by clipping words together to form a new word. In the arts and literature, picnics tend to be more concerned with place, action, and figurative meanings and less concerned with food, if it is mentioned at all. Oliver Goldsmith, whom Georgina Battiscombe (English Picnics, 1949) credits with describing the first picnic in English literature in The Vicar of Wakefield (1766) provides these bare bones: "Our family dined in the field, and we sat, or rather, reclined round a temperate repast, our cloth spread upon the hay." Battiscombe insists that a picnic must be a meal eaten outdoors to which diners bring something to eat, even if there is no sharing. She suggests that before the Romantics made nature fashionable "no one connected the idea of pleasure with the notion of a meal eaten anywhere but under a roof" (p. 4). In London, the so-called Picnic Society (1802) was a short-lived elite social club organized for entertainment. But a decade later "picnic" is used only in the sense of a meal eaten outdoors. Occasionally, it was used in the sense of an anthology, as in Charles Dickens's The Pic-Nic Papers, by Various Hands (1841), or as a term of disapprobation as in a person accused of picnickery and nicknackery, or being frivolous. Germans use picnick in the sense of holding a meeting, as in the phrase ein Picknick halten. The verb is picknicken, which literally means holding a picnic as you would hold a meeting or a party. Italians use scampagnata (holiday in the country), or lolazione sull'erba (luncheon on the grass). Spaniards use comida al aire libre (luncheon on the grass), or comida campestre (eat in the country). Spanish dictionaries seem unaware that Ménage thinks the word may be of Spanish origin. Koreans use both the Chinese so pong (a little meal in the country) and "picnic." Their favorite picnic time occurs when the cherry trees are in bloom. The Japanese have a long history of depicting meals taken outdoors, often celebrating hanami, the cherry blossom season, or another seasonal event. In 1862, "picnic" was translated as shokuji (meal), and in the twentieth century, the Japanese adopted the loanword pikunikku.

If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432

The side opposite the right angle is the hypotenuse.

Because the sides are like a circle.

no idea of the name. its like, take a house and remove the cuboidal part below and u get the shape

Adjacent means 'next to'

since x is negative you use the identity cot-1(x)=tan-1(1/x)+pi. Tan-1(1/-sqrt3) + pi 5pi/6 + pi =pi

lim as h->0 of (f(x+h) - f(x))/h

or

lim as x->a of (f(x) - f(a))/(x - a)

No, they are the inverse functions, while csc, sec and cot are the reciprocal functions.

To illustrate the difference, the inverse of f(x) = x+3 is f-1(x) = x-3

But the reciprocal of f(x) is 1/f(x) = 1/(x+3)

c

If the 3 sides are x, y and z then let s = (x+y+z)/2

Area = sqrt[s*(s-x)*(s-y)*(s-z)] sq cm.

Normally they are named as follows:

Top Right = I

Top Left = II

Bottom Left = III

Bottom Right = IV

138558 x 10-2

The three basic trigonometric ratios are sine (sin), cosine (cos) and tangent (tan)

They are found by comparing two of the three sides of a right triangle. The hypotenuse is the the longest side of the right triangle, and is opposite the right angle. The other two sides are the legs. One leg is adjacent to an angle, and the other is opposite the angle.

The three ratios are

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

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The previous answers are wrong.The answer is 1.5707963267949-0.962423650119207i.

they're the four squares that make up the coordinate grid.

- 0.966

You can determine the height of a mast by using the tangent. Measure the distance from the base, and the angle of elevation of the top of the mast as observed from that distance. The tangent is y over x, so substitute x for the distance from the base and y for the height of the mast. Solve from there.

For instance, if the angle is 60 degrees and the x distance is 25 feet, then...

tan (60) = y / 25

25 tan (60) = y

y = 43.3