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Why sin and cos don't mean anything


Why sin and cos don't mean anything

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An excellent summary of this story (found after I did all the research, annoyingly!) can be found here:

So, yes, the title is, rather than trigonometric, slightly hyperbolic. Sin and cos are a corruption of the word sinus, and so do have a lexical root and broader meaning. But the point I'm trying to make here is that there is no connection between the word sinus and what the functions actually correspond to. Any true meaning was lost in the successive translations and transliterations from sanskrit. So while sin and cos do have /a/ meaning, I guess what I'm saying is that they don't have a /meaningful/ meaning.

Also I apologise for any pronunciation mistakes in this. I'm a scientist, not a linguist! Also also yes I'm aware that there are differences between Persian (in various stages) and Arabic.

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Why are Sine & Cosine given their names?


What is the Sine Function?

To know more about the different functions in Trigonometry, please visit .

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Trick for doing trigonometry mentally!

This fast math trick can be used to mentally work out the main basic trigonometric ratios instantly! With this fast mental math technique you can work out the sin, the cos, and even the tan of the most common angles in no time at all! Become the trigonometry master! To support free math by tecmath onPatreon (thankyou):

What is the meaning of Sin or Cos theta?

The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least the length of one side and the value of one angle is known, then all other angles and lengths can be determined algorithmically. These calculations soon came to be defined as the trigonometric functions and today are pervasive in both pure and applied mathematics: fundamental methods of analysis such as the Fourier transform, for example, or the wave equation, use trigonometric functions to understand cyclical phenomena across many applications in fields as diverse as physics, mechanical and electrical engineering, music and acoustics, astronomy, ecology, and biology. Trigonometry is also the foundation of surveying. Check out Ebook Mind Math from Dr. Garg

x=cos(t), y=sin(t) and some variation.

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Trigonometry – Graphing SIN and COS

President Barack ObaMATH is back for an eye-opening lesson on graphing trigonometric functions! Specifically, we're graphing sin and cos, within one period, which is 2π. If you don't understand that now, you definitely will at the end of the video. That's because the Commander-in-TEACH uses the Unit Circle to calculate all the sin and cos values necessary, which is a great review for any algebra or calculus class. Great energy in the Oval Office today, YAY MATH!

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Don't be fooled! Integrating a resistant Integral! [ e^cos(x)cos(sin(x)) from 0 to 2pi ]

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What do we use sin(x), cos(x) and tan(x) for?

Why do we care about sine, cosine and tangent? What are they for? Even if you've learned that sine is opposite over hypotenuse, why would anyone care what opposite over hypotenuse equals? In this video, we quickly and easily explain why sine, cosine and tangent are useful!

Understanding the trick of Sin Cos and Tan

The Original Trick Video:

Origin of Trigonometry | Sin Cos Tan

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sin,cos, tan ইত্যাদি ত্রিকোণমিতিক অনুপাতগুলা কী? কীভাবে? কোত্থেকে এল?

এই ভিডিওতে ত্রিকোণমিতিক অনুপাত sin,cos,tan,cosec,sec,cot এই নামগুলো কোত্থেকে কীভাবে এলো তা বিস্তারিত আলোচনা করা হয়েছে যা জানার পর শিক্ষার্থীদের ত্রিকোণমিতি তথা গণিতের প্রতি ভালোলাগা ও ভালোবাসার পরিমানটা অনেক বেড়ে যাবে।
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Sin Cos Tan

Sin Cos Tan Example. A basic introduction to trig functions. Learn how to find the sin, cos, tan, csc, sec, and cot of any angle.

How to evaluate for cos without using a calculator or the unit circle

In this video playlist you will start by learning how to sketch angles in standard form in radians and degrees. We will then learn how to convert between angles in radians and degrees. Next we will discuss the six trigonometric functions, sign, cosine, tangent, cosecant, secant, and cotangent. We will learn how to evaluate for each function using right triangles as well as the unit circle. We will discuss arc length, and how to find the angle given the value of a trigonometric expression.
#trigonometry #unitcircle
#trigonometry #unitcircle

Trigonometry Quadrants - Sin, Cos and Tan in Four Quadrants | Signs and Quadrants of Trig Functions

Trigonometry Quadrants - Sin, Cos, Tan, Cosec, Sec and Cot in all four quadrants. The three important functions in trigonometry are sine, Cosine and Tangent of an angle in the second, third or fourth quadrant to that of a related angle in the first quadrant.

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WHAT IS THIS DERIVATIVE?! Derivative sin with respect to cos ( dsin(x)/dcos(x) )

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sin^2(x) + cos^2(x) = 1 Trig Identity Graphical Proof

Graphical proof and derivation of the trigonometric identity sin^2x + cos^2x = 1 using the unit circle.

The proof begins by constructing a triangle inside a unit circle such that the hypotenuse of the triangle is equal to the radius. Then using the Pythagorean theorem we can relate the sides of the triangle together into an equation. Lastly find expressions for x and y in terms of theta and substitute this into your equation.

Music by Adrian von Ziegler

Limit of (1 - tan x)/(sin x - cos x) ❖ Calculus 1 ❖ Trig Limits

This video works out the limit of (1 - tan x)/(sin x - cos x). This type of limit is typically found in a Calculus 1 class.

#mathematics #calculus #triglimits


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Trigonometry Table - Sin Cos Tan Table from 0 to 90 | Trigonometry Chart

Trigonometry Table - Learn how to find sin cos tan table and trigonometric values table from 0 to 90.
In video we had discussed trigonometric formula chart and trigonometric funtions table.

Here we will show you math tricks in Hindi to find trig values from 0 to 90.

You will also know about;
Trigonometric value for sin 0, cos 0, tan 0, cosec 0, sec 0, cot 0
Trigonometric value for sin 30, cos 30, tan 30, cosec 30, sec 30, cot 30
Trigonometric value for sin 45, cos 45, tan 45, cosec 45, sec 345, cot 45
Trigonometric value for sin 60, cos 60, tan 60, cosec 60, sec 60, cot 60
Trigonometric value for sin 90, cos 90, tan 90, cosec 90, sec 90, cot 90

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Trigonometric quadrants





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