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Trigonometry

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.

3,810 Questions

Cosx - sinx?

Given: = cosx - sinx

Just isolate sx

= sx(co-in)

Uses of trigonometry?

Trigonometry is used in measuring the height of waves, the distance between two celestial bodies and is used in navigation to calculate the distance to the shore from a particular point in the ocean..... also architects use trigonometry to measure the slope of roof..

And much more. the above is just 4 single examples of specific tasks whereas in fact it enters a huge range of fields.

One such field in which trig, is an essential element, is that of electrical, sound and vibration studies and designs (the basic wave shape is a sine wave).

Trigonometry in real life?

Applications of Trigonometry in Real life

  • Trigonometry is commonly used in finding the height of towers and mountains.
  • It is used in navigation to find the distance of the shore from a point in the sea.
  • It is used in oceanography in calculating the height of tides in oceans
  • It is used in finding the distance between celestial bodies
  • The sine and cosine functions are fundamental to the theory of periodic functions such as those that describe sound and light waves.
  • Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles

Formula to find the mass of a cube?

The answer depends on what information you do have.

The answer could be

force/acceleration

density*volume

or something more complicated.

Do graphic designers use trigonometry?

No. I have worked as a Graphic Designer for over 20 years both in Europe an the USA and have never had to use trigonometry.

What is a rumbus?

It's called a rhombus, and it is any 4-sided shape in which all 4 sides are of equal length. Examples are a square or a diamond.

A maths project for your maths fair?

well... a really creative n fun project you can do is to make an icosihenagon... the site is in the related link below... try it out! its not that complicated i guess... i mean it is hard to make but not that hard... use your full concentration.

hav fun! :)

What does Euler's formula equal?

Euler's formula states that, for any real number x,

eix = cos x + i sin x,

where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine, respectively. The argument x is given in radians.

Please see the related link below for more information.

What isTan theta?

Tan theta is a function of the number theta.

What shape has 4 vertices and four faces?

A tetrahedron has four faces and vertices.Faces: 4Vetices: 4Edges: 6

What are Carl Friedrich Gauss accomplishments?

At 24 years of age, he wrote a book called Disquisitines Arithmeticae, which is regarded today as one of the most influential books written in math.

He also wrote the first modern book on number theory, and proved the law of quadratic reciprocity.

In 1801, Gauss discovered and developed the method of least squares fitting, 10 years before Legendre, unfortunately, he didn't publish it.

Gauss proved that every number is the sum of at most three triangular numbers and developed the algebra of congruences.

What are some careers that use trigonometry?

Surveyors use trigonmetry to find the exact height, length, and/or width of man-made and/or natural objects without having to measure it all manually. I think, to get the angle, they use a special gun thing that they point at the end of the object, which works it all out, then they just have to measure the distance they are from the object. After that its up to their trigonometry skills, and if they're good, then they should find the almost exact length, height, and/or width.

There are so many jobs that use trigonometry -> an architect, Crime Scene Investigators, any job dealing with outer space (astronomers, physicist, astronauts, the men that guide the astronauts, etc), carpenter, machinist, engineering (mechanical, computer, chemical, civil, aeronautical, industrial, etc.), any job involving navigation (pilots -- air and sea), computer game creators. The list could go on and on, but I think you get the idea.

What jobs use trigonometry?

there many jobs that have to uses trigonometrysuch as a carpentry , law and order these jobs have to use trigonometry because for carpentry if you don't use it then you might as well not use it any ways and you Can also use it to impress the boss you know mabye get a little raise in your money but really when you are cutting out an angle you have to use trigonometry, also architecture uses trigonometry so they can figure out how to build the complex shapes that modern buildings require

What is the formula of a cube?

Base times Width times height. Take the measurement of the base, multiply it by the measurement of the width and multiply it all again by the measurement of the height. B*W*H=Cube

another way of saying it:

volume: multiply the length times the length times the length. Surface area: length times width times six.

How do you solve double angle equations for trigonometry?

There are two ways to solve for the double angle formulas in trigonometry. The first is to use the angle addition formulas for sine and cosine.

* sin(a + b) = sin(a)cos(b) + cos(a)sin(b) * cos(a + b) = cos(a)cos(b) - sin(a)sin(b) if a = b, then

* sin(2a) = sin(a)cos(a) + cos(a)sin(a) = 2sin(a)cos(a) * cos(2a) = cos2(a) - sin2(b) The cooler way to solve for the double angle formulas is to use Euler's identity. eix = cos(x) + i*sin(x). Yes, that is "i" as in imaginary number.

we we put 2x in for x, we get

* e2ix = cos(2x) + i*sin(2x) This is the same as

* (eix)2 = cos(2x) + i*sin(2x) We can substitute our original equation back in for eix.

* (cos(x) + i*sin(x))2 = cos(2x) + i*sin(2x) We can distribute the squared term.

* cos2(x) + i*sin(x)cos(x) + i*sin(x)cos(x) + (i*sin(x))2 = cos(2x) + i*sin(2x) And simplify. Because i is SQRT(-1), the i squared term becomes negative.

* cos2(x) + 2i*sin(x)cos(x) - sin2(x) = cos(2x) + i*sin(2x) * cos2(x) - sin2(x) + 2i*sin(x)cos(x) = cos(2x) + i*sin(2x) Now you can plainly see both formulas in the equation arranged quite nicely. I don't yet know how to get rid of the i, but I'm working on it.

How do you find the length of the hypotenuse?

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.

How do you solve right triangles in Trigonometry?

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 :)

Kinds of angles according to size?

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

1 million equal to how much crore?

1 million is 1,000,000

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

10 million is 1 crore