Trigonometry

In a right-angled triangle, the hypotenuse is the longest side, opposite the right-angle. There are two ways of finding the length of the hypotenuse using mathematics: Pythagoras' theorem or trigonometry, but for both you need either two other lengths or an angle.

For Pythagoras' theorem, you need the other two lengths. The theorem is a2+b2=c2, or the square root of the sum of two angles squared, where c=the hypotenuse. Let's say that one length is 4.8cm and the other 4cm. 4.82+42=6.22. So, the answer is 6.2cm.

If you have one side and one angle, use trigonometry. You will need a calculator for this. Each side of the right-angled triangle has a name corresponding to the positioning of the angle given. The opposite is the side opposite the given angle, the adjacent is the side with the right-angle and the given angle on it, and the hypotenuse is the longest side or the side opposite the right-angle. There are three formulas in trigonometry: sin, cos and tan. Sin is the opposite/hypotenuse; cos is the adjacent/hypotenuse; and tan is the opposite/adjacent. As we are trying to find the hypotenuse, we already have either the opposite or the adjacent, and one angle. Let's say that our angle is 50o and we have the adjacent side, and that is 4cm. So, we have the adjacent and want to know the hypotenuse. The formula with both the adjacent and the hypotenuse in is cos. So, Cos(50o)=4/x where x=hypotenuse. We can single out the x by swapping it with the Cos(50o), so x=4/Cos(50o) -> x=6.22289530744164. This is the length of the hypotenuse, and is more accurate that Pythagoras' theorem.

you use the the 3 trigonometry functions , sin=opposite divided by hypotenuse cos=adjacent divided by hypotenuse tan=opposite divided by adjacent these are used to work out angles and side lengths in right angle triangles only!!! sine,cosine,tangent :)

acute angle = less than 90o & greater than 0o right angle = 90o obtuse angle = greater than 90o & less than 180o straight angle = 180o reflex angle = greater than 180o

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1 million is 1,000,000

1 crore is 100 lakhs = 100,00,000 = 10,000,000

10 million is 1 crore

The difference between plane and spherical triangles is that plane triangles are constructed on a plane, and spherical triangles are constructed on the surface of a sphere. Let's take one example and run with it. Picture an equilateral triangle drawn on a plane. It has sides of equal length (naturally), and its interior angles are each 60 degrees (of course), and they sum to 180 degrees (like any and every other triangle). Now, let's take a sphere and construct that equilateral triangle on its surface. Picture an "equator" on a sphere, and cut that ball in half through the middle. Set the top half on a flat surface and cut it into four equal pieces. Now if you "peel up" the surface of one of those quarters and inspect that triangle, it will have three sides of equal length, and will have three right angles. Not possible on a plane, but easy as pie on the surface of a sphere. Spherical trig is the "next step up" from plane trig.

A tetrahedron.

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a cube

comes from three Greek words; "tria"-three, "gonia"-angle, "metron"-measurement

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Like all prisms you find the area of one of the triangular faces and then multiply by the height.

Graphic designers use math because they have to measure out models to a certain scale. They need to know how to calculate exact measurements.

The parts of a cartesian coordinate system include the origin (point 0,0), the x-axis or abscissa, the y-axis or ordinate, and the quadrants into which the x and y axes divide the plane.

Pentehedron

In geometry, angles are studied mostly in relation to each other. In Trigonometry, angles are studied in relation to side lengths and triangles.

Trigonometric functions are periodic so they are many-to-one.

It is therefore important to define the domains and ranges of their inverses in such a way the the inverse function is not one-to-many. Thus the range for arcsin is [-pi/2, pi/2], arccos is [0, pi] and arctan is (-pi/2, pi/2).

However, these functions can be used, along with the periodicities to establish relations which extend solutions beyond the above ranges.

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If it is an elliptic oval, the circumference can be calculated by πab, where a and b are the lengths of the minor and major axes.

Triangular prism

* * * * *

No. It is a triangular pyramid or a tetrahedron.

A triangular prism has 6 vertices and 5 faces.

1/2 x width x length x height

The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.

Engineers and Physicists use trigonometry, as well as people whose carrers involve acoustics, optics, and waves.

triangle measure

First we look at the double-angle identity of cos2x.

We know that:

cos2x = cos^2x - sin^2x

cos2x = [1-sin^2x] - sin^2x.............. (From sin^2x + cos^2x = 1, cos^2x = 1 - sin^2x)

Therefore:

cos2x = 1 - 2sin^2x

2sin^2x = 1 - cos2x

sin^2x = 1/2(1-cos2x)

sin^2x = 1/2 - cos2x/2

And intergrating, we get:

x/2 - sin2x/4 + c...................(Integral of cos2x = 1/2sin2x; and c is a constant)