how to change excel from radians to degrees
| Physics Laboratory |  | Excel Tutorial #6 |
When solving trigonometric expressions like sine, cosine and tangent, it is very of import to realize that Excel uses radians, not degrees to perform these calculations! If the angle is in degrees y'all must first catechumen it to radians.
There are two easy means to exercise this.
- Recollect that p = 180°. Therefore, if the angle is in degrees, multiply it by p/180° to convert it to radians. With Excel, this conversion can be written PI( )/180. For example, to convert 45° to radians, the Excel expression would exist 45*PI( )/180 which equals 0.7854 radians.
- Excel has a congenital-in function known as RADIANS(angle) where angle is the bending in degrees you wish to convert to radians. For instance, the Excel expression used to convert 270° to radians would be RADIANS(270) which equals 4.712389 radians
Yous can use the DEGREES(angle) function to convert radians into degrees. For case, DEGREES(PI( ) ) equals 180.
Excel uses several built-in trig functions. Those that you will employ most frequently are displayed in the table below. Note that the arguements for the SIN( ), COS( ) and TAN( ) functions are, by default, radians. Also, the functions ASIN( ), ACOS( ) and ATAN( ) return values in terms of radians. (When working with degrees, you will need to properly use the DEGREES( ) and RADIANS( ) functions to convert to the correct unit.)
| Mathematical Expression | Excel Expression | Excel Examples |
| sine: sin(q) | SIN(number) | SIN(30) equals -0.98803, the sine of thirty radians SIN(RADIANS(30)) equals 0.5, the sine of 30° |
| cosine: cos(q) | COS(number) | COS(1.5) equals 0.07074, the cosine of 1.5 radians COS(RADIANS(i.five)) equals 0.99966, the sine of 1.five° |
| tangent: tan(q) | TAN(number) | TAN(two) equals -2.18504, the tangent of 2 radians TAN(RADIANS(2)) equals 0.03492, the tangent of 2° |
| arcsine: sin-1(x) | ASIN(number) | ASIN(0.5) equals 0.523599 radians DEGREES(ASIN(0.5)) equals 30°, the arcsine of 0.5 |
| arccos: cos-one(10) | ACOS(number) | ACOS(-0.v) equals 2.09440 radians DEGREES(ACOS(-0.5)) equals 120°, the arccosine of -0.5 |
| arctangent: tan-one(x) | ATAN(number) | ATAN(ane) equals 0.785398 radians DEGREES(ATAN(one)) equals 45°, the arctangent of i |
Below are a few examples of problems involving trigonometry and how nosotros used Excel to help solve them.
Solving for the summit of the tree, h, we detect
. The screen shot below shows how we used Excel to determine that the superlative of the tree is 47 m. 
Annotation the use of the RADIANS( ) function in the in a higher place example.
We can rewrite this equation every bit 
. Using the arcsine (inverse sine) we can discover the angle a using the equation
The screen shot beneath shows how we used Excel to determine that the launch bending of the ramp is 14.04°.
Note the utilize of the DEGREES( ) and RADIANS( ) function in the above instance.
In our final trigonometry example, we volition use Excel to examine the trig identity
Notice in the screen shot below that this identity holds truthful when q is given in radians and degrees.
Annotation the units for the angle q are placed in dissimilar cells than the numbers. If we place the numbers and the units in the aforementioned jail cell, Excel will not be able to decipher the number and therefore we volition not be able to reference the cells for utilise in whatsoever equation!
See the consummate list of Excel's built-in mathematical and trigonometric functions and their descriptions.
If yous take a question or comment, send an eastward-post to .
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Source: https://www.science.clemson.edu/physics/labs/tutorials/excel/trig.html
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