what is trigonometry? can you give an example of an equation like that??

Question

please! itz urgent

Answer 1

It's maths that has something to do with triangles.

For example Pythagoras's' theorem is: For a right angled triangle the square of the hypotenuse is equal to the sum of the square of the other two sides.

Answer 2

Trigonometry works by making similar triangles. Imagine a plane with a rotating arm. The arm has length of 1. Imagine that a plum line has been dropped from the end of the arm. As the arm rotates around the plane, the plum line will form a triangle, so that the height and base alter in length as the angle of rotation changes. For a given angle, therefore, you can calculate the base length and height of the triangle. This is your template. You simply size up/down, depending upon the size of your triangle.

O.K. Start by labeling your triangle in relation to the angle that you have. The longest side is called the Hypotenuse. The side opposite the angle is called the Opposite and next to is called Adjacent.

You now have 3 identities. Sin, Cos and Tan. The choice of which one to use depends upon the length that you know and the length that you want to know.

Note: A = Angle

SinA = Opp/Hyp

TanA = Opp/Adj

CosA = Adj/Hyp

You will need a calculator. Let us say that you know Hyp (20cm), but are looking for Adj. The angle = 38 Degrees.

If Cos 38 = Adj/20, then 20 x Cos 38 = Adj

Key in 38 and press the Cos button. Now multiply by 20 (Assume Casio Scientific).

There you go, quick version. If you want more, try Mathsnet.

Answer 3

Roughly speaking, trigonometry is the study of triangles.

There are relationships among the three angles in a triangle as well as the three sides of a triangle. Trigonometry specifies this relationship.

For example, for a right triangle we define the functions:

sine( angle )
cosine( angle )
tangent( angle )

If "angle" is one of the two non-90-degree angles at one vertex of the triangle:

sine(angle) represnts the ratio "opposite/hypoteneus" where "opposite" is the length of the side "opposite" the angle and "hypoteneus" is the length of the "diagonal" side connecting the two perpendicular "legs" of the triangle.

cosine(angle) represents the ratio "adjacent/hypoteneus" where "adjacent" is the lenght of the side "next to" the angle that is not the hypoteneus.

tangent(angle) represents the ratio "opposite/adjacent" which is the ratio of the two non-hypoteneus legs.

It is known that for any angle,

sine(angle)^2 + cosine(angle)^2 = 1

This is called a "trigonometric identity." There are many more such identities.

Note that if we replace the ratio sine(angle) with the explicit ratio O/H and cosine(angle) with A/H, we get:

(O/H)^2 + (A/H)^2 = 1

Which is the same as:

O^2 + A^2 = H^2

Recall that O and A and H are lengths of the three sides of the triangle. This matches the result of the Pythagorean Theorem. The sum of the squares of the two legs of a right triangle equal the square of the hypoteneus. (in fact, the Pythagorean Theorem can be used to prove the trigonometric identity above)

Answer 4

Trigonometry involves finding the lengths of sides and the size of angles of a triangle.

The cosine rule c^2 = a^2 + b^2 - 2ab cos C applies to all triangles, but is usually only used with non right angled triangles. This is because if the triangle is right angled then 2ab cos C will equal 0 because the cosine of 90 is 0. This would leave you with c^2 = a^2 + b^2 which is Pythagoras Theorem.

Answer 5

Trigonometry (from the Greek trigonon = three angles and metro = measure [1]) is a branch of mathematics dealing with angles, triangles and trigonometric functions such as sine, cosine and tangent. It has some relationship to geometry, though there is disagreement on exactly what that relationship is; for some, trigonometry is just a subtopic of geometry.

Examples
If
Sin A + Cos B= 1 find A

Sin^2 A+Cos^2B = 0.25 find B

Prove that Sin^2A+Cos^2A=1

etc

Answer 6

Trigonometry is mathematical study on angles.

An easy trigonometry question:
You are given a right-angled triangle with sides of 5 inches and 12 inches and the hypotenus of 13 inches. Find the other two angles within the triangle.
This involves the use of tangent, sine and cosine.

Answer 7

The square of the hypotenuse is the sum of the square of the other 2 sides.

Answer 8

a the power of a = B power of 2 * C Power 0f 2

Answer 9

Look in the dictionary!

Answer 10

tan x = sin x / cos x