Trigonometry

• A - Z List of Numeracy Skills • How Good Are Your Numeracy Skills? Numeracy Quiz • Money Management and Financial Skills • • • • • • Arithmetic: • • • × • ÷ • • • Essentials of Numeracy: • • • • • • • • Geometry: • • • • • • • • • • • • • Data Analysis: • • • • • • • • • More Advanced Mathematical Concepts: • • • • • Trigonometry, as the name might suggest, is all about triangles. More specifically, trigonometry is about right-angled triangles, where one of the internal angles is 90°. Trigonometry is a system that helps us to work out missing or unknown side lengths or angles in a triangle. There is more about triangles on our page on Right-Angled Triangles: A Reminder A right-angled triangle has a single right angle. By definition, that means that all sides cannot be the same length. A typical right-angled triangle is shown below. • The right angle is indicated by the little box in the corner. • The other angle that we (usually) know is indicated by θ (theta). • The side opposite the right angle, which is the longest side, is called the hypotenuse. • The side opposite θ is called the opposite. • The side next to θ which is not the hypotenuse is called the adjacent. Pythagoras’ Theorem vs. Trigonometry Pythagoras was a Greek philosopher who lived over 2500 years ago. He is credited with a number of important mathematical and scientific discoveries, arguably the most significant of which has become known as Pythagoras’ Theorem. It is an important rule that applies only to...

More • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Trigonometry Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a  right-angled triangle. This concept is given by the Greek mathematician Hipparchus. In this article, we are going to learn the basics of trigonometry such as trigonometry functions, ratios, trigonometry table, formulas and many solved examples. Table of contents: • • • • • • • • • • • • • • • What is Trigonometry? Trigonometry is one of the most important branches in mathematics that finds huge application in diverse fields. The branch called “Trigonometry” basically deals with the study of the relationship between the sides and angles of the right-angle triangle. Hence, it helps to find the ...

This trigonometry calculator will help you in two popular cases when trigonometry is needed. If you want to find the values of sine, cosine, tangent, and their reciprocal functions, use the first part of the calculator. Are you searching for the missing side or angle in a right triangle using trigonometry? Our tool is also a safe bet! Type 2-3 given values in the second part of the calculator, and you'll find the answer in a blink of an eye. Scroll down if you want to learn about trigonometry and where you can apply it. There are many other useful tools when dealing with trigonometry problems. Check out two popular trigonometric laws with the Trigonometry is a branch of mathematics. The word itself comes from the Greek trigōnon (which means "triangle") and metron ("measure"). As the name suggests, trigonometry deals primarily with angles and triangles; in particular, it defines and uses the relationships and ratios between angles and sides in triangles. The primary application is thus solving triangles, precisely right triangles, and any other type of triangle you like. Trigonometry has plenty of applications: from everyday life problems such as calculating the height or distance between objects to the satellite navigation system, astronomy, and geography. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements (as in our Many fields of science and engineering use trigonometry and trigonometr...

The study of , , , , , and . The inverses of these functions are denoted , , , , , and . Note that the not to the The trigonometric functions are most simply defined using the be an x-axis along an is the horizontal coordinate of the is the vertical component. The is defined as . As a result of this definition, the trigonometric functions are periodic with period , so More things to try: • • • References Abramowitz, M. and Stegun, I.A. (Eds.). "Circular Functions."§4.3 in Bahm, L.B. Beyer, W.H. "Trigonometry." Borchardt, W.G. and Perrott, A.D. Dixon, R. "The Story of Sine and Cosine."§4.4 in Hobson, E.W. Kells, L.M.; Kern, W.F.; and Bland, J.R. Maor, E. Morrill, W.K. Robinson, R.M. "A Curious Mathematical Identity." Amer. Math. Monthly 64, 83-85, 1957. Siddons, A.W. and Hughes, R.T. Trigonometry, Part I. London: Cambridge University Press, 1929a. Siddons, A.W. and Hughes, R.T. Trigonometry, Part II. London: Cambridge University Press, 1929b. Siddons, A.W. and Hughes, R.T. Siddons, A.W. and Hughes, R.T. Trigonometry, Part IV. London: Cambridge University Press, 1929d. Sloane, N.J.A. Sequence Thompson, J.E. Yates, R.C. "Trigonometric Functions." Weisstein, E.W. "Books about Trigonometry." Zill, D.G. and Dewar, J.M. Referenced on Wolfram|Alpha Cite this as: MathWorld--A Wolfram Web Resource. Subject classifications • • • • • • • • • • • • • • • • • • • • Created, developed and nurtured by Eric Weisstein at Wolfram Research

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trigonometry, Mathematical discipline dealing with the relationships between the sides and angles of triangles. Literally, it means triangle measurement, though its applications extend far beyond geometry. It emerged as a rigorous discipline in the 15th century, when the demand for accurate surveying techniques and navigational methods led to its use for the “solution” of right triangles, or the calculation of the lengths of two sides of a right triangle given one of its acute angles and the length of one side. The solution can be found by using ratios in the form of the trigonometric functions. Related Article Summaries

trigonometry, Mathematical discipline dealing with the relationships between the sides and angles of triangles. Literally, it means triangle measurement, though its applications extend far beyond geometry. It emerged as a rigorous discipline in the 15th century, when the demand for accurate surveying techniques and navigational methods led to its use for the “solution” of right triangles, or the calculation of the lengths of two sides of a right triangle given one of its acute angles and the length of one side. The solution can be found by using ratios in the form of the trigonometric functions. Related Article Summaries

• A - Z List of Numeracy Skills • How Good Are Your Numeracy Skills? Numeracy Quiz • Money Management and Financial Skills • • • • • • Arithmetic: • • • × • ÷ • • • Essentials of Numeracy: • • • • • • • • Geometry: • • • • • • • • • • • • • Data Analysis: • • • • • • • • • More Advanced Mathematical Concepts: • • • • • Trigonometry, as the name might suggest, is all about triangles. More specifically, trigonometry is about right-angled triangles, where one of the internal angles is 90°. Trigonometry is a system that helps us to work out missing or unknown side lengths or angles in a triangle. There is more about triangles on our page on Right-Angled Triangles: A Reminder A right-angled triangle has a single right angle. By definition, that means that all sides cannot be the same length. A typical right-angled triangle is shown below. • The right angle is indicated by the little box in the corner. • The other angle that we (usually) know is indicated by θ (theta). • The side opposite the right angle, which is the longest side, is called the hypotenuse. • The side opposite θ is called the opposite. • The side next to θ which is not the hypotenuse is called the adjacent. Pythagoras’ Theorem vs. Trigonometry Pythagoras was a Greek philosopher who lived over 2500 years ago. He is credited with a number of important mathematical and scientific discoveries, arguably the most significant of which has become known as Pythagoras’ Theorem. It is an important rule that applies only to...

\square^ (2\times2) (2\times3) (3\times3) (3\times2) (4\times2) (4\times3) (4\times4) (3\times4) (2\times4) (5\times5) (1\times2) (1\times3) (1\times4) (1\times5) (1\times6) (2\times1) (3\times1) (4\times1) (5\times1) (6\times1) (7\times1) \mathrm + • simplify\:\frac • Show More

This trigonometry calculator will help you in two popular cases when trigonometry is needed. If you want to find the values of sine, cosine, tangent, and their reciprocal functions, use the first part of the calculator. Are you searching for the missing side or angle in a right triangle using trigonometry? Our tool is also a safe bet! Type 2-3 given values in the second part of the calculator, and you'll find the answer in a blink of an eye. Scroll down if you want to learn about trigonometry and where you can apply it. There are many other useful tools when dealing with trigonometry problems. Check out two popular trigonometric laws with the Trigonometry is a branch of mathematics. The word itself comes from the Greek trigōnon (which means "triangle") and metron ("measure"). As the name suggests, trigonometry deals primarily with angles and triangles; in particular, it defines and uses the relationships and ratios between angles and sides in triangles. The primary application is thus solving triangles, precisely right triangles, and any other type of triangle you like. Trigonometry has plenty of applications: from everyday life problems such as calculating the height or distance between objects to the satellite navigation system, astronomy, and geography. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements (as in our Many fields of science and engineering use trigonometry and trigonometr...