We use cookies to give you the best experience possible. By continuing we’ll assume you’re on board with our cookie policy

What Is Trigonometry?

essay
The whole doc is available only for registered users

A limited time offer! Get a custom sample essay written according to your requirements urgent 3h delivery guaranteed

Order Now

Trigonometry is…
i) A ration shows approximate sizes of two or more values. Ratios can be shown in different ways. For example 1:3 (one to three), ¼ (one fourth). ii)
* Sine (θ) = Opposite x Hypotunese-1
* Cosine (θ) = Adjacent x Hypotunese-1
* Tangent (θ) = Opposite x Adjacent -1
iii) You can remember this equations throughout a word SohCahToa Trigonometry came from…
i) The term “trigonometry,” although not of native Greek origin, comes from the Greek word trigonon, meaning “triangle,” and the Greek word -metria, meaning“measurement.” As the name implies, trigonometry ultimately developed from the study of right triangles by applying the relationships between the measures of its sides andangles to the study of similar triangles. However, the word “trigonometry” did not exist upon the birth of the subject, but was later introduced by the German mathematician and astronomer, Bartholomaeus Pitiscus in the title of his work, Trigonometria sive de solutione triangularum tractatus brevis et perspicius…, publishedin 1595 ii) In our days, we have a lot of use for trigonometry. We can use trigonometry in Astronomy, geography, engineering, physics and finally mathematics. Trigonometric tables were created over two thousand years ago for studying astronomy.

The stars were thought to be fixed on a crystal sphere of great size, and that model was perfect for practical purposes. Only the planets moved on the sphere. The kind of trigonometry needed to understand positions on a sphere is called spherical trigonometry. Spherical trigonometry is rarely taught now since its job has been taken over by linear algebra. However, one of application of trigonometry is astronomy. Physics lays heavy demands on trigonometry. Optics and statics are two early fields of physics that use trigonometry, but all branches of physics use trigonometry since trigonometry aids in understanding space. Related fields such as physical chemistry naturally use trigonometry. Of course, trigonometry is used throughout mathematics, and, since mathematics is applied throughout the natural and social sciences, trigonometry has many applications. Calculus, linear algebra, and statistics, in particular, use trigonometry and have many applications in the all the sciences. iii)

iv) Hipparchus was called the father of trigonometry. Hipparchus was a Greek mathematician that lived in the second century BCE. He was said to use Hellenistic mathematics to create his theory of trigonometry. v) Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry means the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves.

How do we use trigonometry?
i) C2 = B2 + A2 – 2 x B x A x cos C ‍‍–> 13 x 13 = 12 x 12 + 5 x 5 – 2 x 12 x 5 x cos A –> 169 = 144 + 25 – 120 x cos A –> 169 – 169 = – 120 x cos A –> (169 – 169) / 120 = cos A –> A = cos -1 [(169 – 169) / 120] –> A = 90˚ ii) Soh Cah Toa –> Sine (θ) = Opposite x Hypotunese-1 –> Sin (59) = X x 10-1 –> X = 10 x Sin (59) –> X = 8.57 iii)

Related Topics

We can write a custom essay

According to Your Specific Requirements

Order an essay
icon
300+
Materials Daily
icon
100,000+ Subjects
2000+ Topics
icon
Free Plagiarism
Checker
icon
All Materials
are Cataloged Well

Sorry, but copying text is forbidden on this website. If you need this or any other sample, we can send it to you via email.

By clicking "SEND", you agree to our terms of service and privacy policy. We'll occasionally send you account related and promo emails.
Sorry, but only registered users have full access

How about getting this access
immediately?

Your Answer Is Very Helpful For Us
Thank You A Lot!

logo

Emma Taylor

online

Hi there!
Would you like to get such a paper?
How about getting a customized one?

Can't find What you were Looking for?

Get access to our huge, continuously updated knowledge base

The next update will be in:
14 : 59 : 59