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Coversine Calculator

Calculate the coversine of any degrees or radians.

Are you looking for a simple and efficient way to calculate coversine? Look no further! In this article, we’ll introduce you to the coversine function, explain its definition and formula, and guide you through the process of using the Coversine Calculator. Whether you’re a student, a professional, or simply curious about trigonometry, this calculator will help you accurately determine the coversine of any angle. Let’s dive in!

Coversine Calculator

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What is Coversine

Coversine is a trigonometric function closely related to the sine function. It is defined as the complement of the sine function. The formula to calculate coversine is straightforward:

Coversine(x) = 1 – sine(x)

In terms of the unit circle, the coversine is the distance between the point on the circle and the x-axis. As the angle increases, the coversine value decreases, reaching its minimum value of 0 when the angle is 90 degrees or π2 radians.

Coversine Graph

Coversine Graph

For example, let’s calculate the coversine of an angle of 60 degrees manually.

Step 1: Calculate the sine of the angle.

We can use the sine calculator or reference tables to find that the sine of 60 degrees is

sine(60°) = √32

Step 2: Calculate the coversine value.

The coversine is defined as the complement of the sine function. So, we can calculate the coversine by sine value.

coversine(60°) = 1 – sine(60°) = 1 – √32 = 2 – √32

After performing the calculations, we find that the coversine of 60 degrees is 2 – √32.

By following these steps, you can manually calculate the coversine of any angle. However, using a calculator or specialized tool like the Coversine Calculator can provide more accurate and efficient results.

Coversine Table

Degrees Radians Coversine
0° 0 1
5° π36 0.91284426
10° π18 0.82635182
15° π12 0.74118095
20° π9 0.65797986
25° 5π36 0.57738174
30° π6 0.5
35° 7π36 0.42642356
40° 2π9 0.35721239
45° π4 0.29289322
50° 5π18 0.23395556
55° 11π36 0.18084796
60° π3 0.1339746
65° 13π36 0.09369221
70° 7π18 0.06030738
75° 5π12 0.03407417
80° 4π9 0.01519225
85° 17π36 0.0038053
90° π2 0
95° 19π36 0.0038053
100° 5π9 0.01519225
105° 7π12 0.03407417
110° 11π18 0.06030738
115° 23π36 0.09369221
120° 2π3 0.1339746
125° 25π36 0.18084796
130° 13π18 0.23395556
135° 3π4 0.29289322
140° 7π9 0.35721239
145° 29π36 0.42642356
150° 5π6 0.5
155° 31π36 0.57738174
160° 8π9 0.65797986
165° 11π12 0.74118095
170° 17π18 0.82635182
175° 35π36 0.91284426
180° π 1
185° 37π36 1.08715574
190° 19π18 1.17364818
195° 13π12 1.25881905
200° 10π9 1.34202014
205° 41π36 1.42261826
210° 7π6 1.5
215° 43π36 1.57357644
220° 11π9 1.64278761
225° 5π4 1.70710678
230° 23π18 1.76604444
235° 47π36 1.81915204
240° 4π3 1.8660254
245° 49π36 1.90630779
250° 25π18 1.93969262
255° 17π12 1.96592583
260° 13π9 1.98480775
265° 53π36 1.9961947
270° 3π2 2
275° 55π36 1.9961947
280° 14π9 1.98480775
285° 19π12 1.96592583
290° 29π18 1.93969262
295° 59π36 1.90630779
300° 5π3 1.8660254
305° 61π36 1.81915204
310° 31π18 1.76604444
315° 7π4 1.70710678
320° 16π9 1.64278761
325° 65π36 1.57357644
330° 11π6 1.5
335° 67π36 1.42261826
340° 17π9 1.34202014
345° 23π12 1.25881905
350° 35π18 1.17364818
355° 71π36 1.08715574
360° 2π 1

What is Coversine Calculator

The Coversine Calculator is a powerful tool designed to simplify the process of calculating coversine. Its purpose is to provide quick and accurate results, saving you time and effort in manual calculations. With the Coversine Calculator, you can easily obtain the coversine value for any given angle without the need for complex mathematical operations.

How to Use the Coversine Calculator

Using the Coversine Calculator is a straightforward process. Here’s a step-by-step guide:

  • 1Enter the desired angle value in the input box.
  • 2Select the angle type, degrees or radians, the default is degrees.
  • 3Click the Calculate button to obtain the coversine value.
  • 4Click the Reset button to start a new calculation

FAQs

  • Q: What is the relationship between coversine and sine?
    Coversine is the complement of the sine function, obtained by subtracting the sine value from 1.
  • Q: Can coversine values be negative?
    A: No, coversine values are always non-negative, ranging from 0 to 2. (You can get the answer from Coversine Graph above.)
  • Q: Is there a direct formula to calculate the coversine?
    A: No, there isn’t a direct formula for calculating the coversine like there is for the sine or cosine. The coversine is defined as 1 minus the sine of an angle, so it can be obtained by subtracting the sine value from 1.
  • Q: Can the coversine be greater than 1?
    A: Yes, The coversine function ranges between 0-2.
  • Q: In which fields is coversine commonly used?
    A: Coversine has applications in various fields such as mathematics, physics, engineering, and computer graphics, particularly when dealing with angles and trigonometric calculations.

Conclusion

The Coversine Calculator is a valuable tool that simplifies the process of calculating coversine. Whether you’re a student studying trigonometry or a professional requiring precise angle measurements, this calculator will provide you with accurate coversine values instantly. Embrace the convenience and efficiency of the Coversine Calculator to enhance your trigonometric calculations and gain a deeper understanding of angles and their components.

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