Plugging the angle value, in degrees, in the previous formula, we get: α rad = π × 30 /180 = . radians Cancel the common factor of . Therefore, the exact value of sin 60 degrees is √3/2. We will also try and learn about the history pertaining to these geometrical measurement terms which are so commonly. It would be pertinent to mention that the practice of measuring angles using the length of an arc was already in vogue and many other mathematicians were practicing it. 1*Pi radian is a circle divided in 2 from there you can work out the conversion: 60 degrees is to X rad as 180 degrees is to 1*Pi rad. The trigonometry ratios sin, cos and tan for an angle are the primary functions. He was able to describe and explain everything pertaining to radian but was not able to name it. For the best answers, search on this site, This is a very useful conversion. Terms of Use Email us: [email protected]. Radians is the ratio of the arc length to the radius of a circle. Your contribution for may help us to manage the site and expenses of it. 1/6 x 2π radians = π/3 radians. Why don't libraries smell like bookstores? If you are a student with an inclination and interest towards math and geometry then you will certainly find the next few lines of interest. In the same way, we can create a table for trigonometry ratios with respect to π. It must have been written sometime during the 1500 – 2000 BCE. What type of patterns do you notice for the square numbers? Let us discuss the value of sine 60 degrees here in this article. Join Yahoo Answers and get 100 points today. To make matters simple if you have 1 degree you have to divide it by 0.0174533 radians and you will get 57.2958 degrees. Get your answers by asking now. When it comes to conversion from radians to degrees, the formula is quite simple. There are some simple and readymade formulas available which could be useful in converting radians to degrees and degrees to radians. One needs to understand the same and if this is made possible it would only be a few minutes before one can convert the same from one to another quite easily. Thanks for visiting our site. There are evidences to suggest that the earliest trigonometry which was used by Babylonian astronomers and also their Greek successors made use of Degree as a unit of measurement. 1 degree is a circle divided into 360 segments. See Figure 1. The formula for converting degrees There are some simple and readymade formulas available which could be useful in converting radians to degrees and degrees to radians. This practice in fact was around from 1400 and hence it might be right to suggest that radian has been in use for more than 600 years now. Hence today when we talk about radian it is considered as SI derived unit measurement. π/3 radians. What is the hink-pink for blue green moray? The entire concept of radian measure is perhaps the brainchild of Roger Cotes and he discovered it in 1714.

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