Table of Contents
Welcome to cos 24°, our post aboutthe cosine of 24 degrees.
For the cosine of 24 degrees we use the abbreviation cos for the trigonometric function together with the degree symbol °, and write it as cos 24°.
If you have been looking for what is cos 24°, or if you have been wondering about cos 24 degrees in radians, then you are right here, too.
In this post you can find the cos 24° value, along with identities.
Read on to learn all about the cos of 24°.
Cos 24 Degrees
If you want to know what is cos 24 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of cos 24°:
cos 24° = 0.91355
cos 24 degrees = 0.91355
The cos of 24 degrees is 0.91355, the same as cos of 24 degrees in radians. To obtain 24 degrees in radian multiply 24° by $\pi$ / 180° = 2/15 $\pi$. Cos 24degrees = cos (2/15 × $\pi)$.
Our results of cos24° have been rounded to five decimal places. If you want cosine 24° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate cos 24 degrees insert the angle 24 in the field labelled °, but if you want to calculate cos 24 in radians, then you have to press the swap unit button first.
Calculate cos [degrees]
The identities of cosine 24° are as follows:
= sin (90°+24°) = sin 114°
= sin (90°-24°) = sin 66°
-cos24°
= cos (180°+24°) = cos 204°
= cos (180°-24°) = cos 156°
There are more formulas for the double angle (2 × 24°), half angle ((24/2)°) as well as the sum, difference and products of two angles such as 24° and β.
You can locate all of them in the respective article found in the header menu. To find everything about cos -24° click the link. And here is all about sin 24°, including, for instance, a converter.
In terms of the other five trigonometric functions, cos of 24° =
- $\pm \sqrt{1-\sin^{2} 24 ^\circ}$
- $\pm\frac{1}{\sqrt{1 + \tan^{2} 24^\circ}}$
- $\pm\frac{\cot 24^\circ}{\sqrt{1 + \cot^{2} 24^\circ}}$
- $\frac{1}{\sec 24^\circ}$
- $\pm\frac{\sqrt{\csc^{2} 24^\circ – 1} }{\csc 24^\circ}$
As the cosine function is the reciprocal of the secant function, 1 / sec 24° = cos24°.
In the next part we discuss the trigonometric significance of cos24°, and there you can also learn what the search calculations form in the sidebar is used for.
What is cos 24°?
In a triangle which has one angle of 90 degrees, the cosine of the angle of 24° is the ratio of the length of the adjacent side a to the length of the hypotenuse h: cos 24° = a/h.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 24 degrees is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.
As detailed in the unit-circle definition on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, x = cos 24°.
Bringing together the triangle definition and the unit circle definition of cosine 24 degrees, a = x and h = r = 1. It follows that $x\hspace{5px} =\hspace{5px}\frac{adjacent}{hypotenuse}\hspace{5px}=\hspace{5px}\cos 24^\circ$.
Note that you can locate many terms including the cosine24° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos24°.
Along the same lines, using the aforementioned form, can you look up terms such as cos 24° value, cos 24, cos24° value and what is the cos of 24 degrees, just to name a few.
Given the periodic property of cosine of 24°, to determine the cosine of an angle > 360°, e.g. 744°, calculate cos 744° as cos (744 Mod 360)° = cosine of 24°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is cos 24 degrees and what is the cos of 24 degrees for example; reading our content they are no-brainers.
But, if there is something else about cosine 24° you would like to know, fill in the form on the bottom of this post, or send us an email with a subject line such as cosine 24 degrees.
If our calculator and the information on cos24° have been helpful, please hit the sharing buttons to spread the word about our content, and don’t forget to bookmark us.
Or, even better, install absolutely free PWA app (see menu or sidebar)!
Thanks for visiting cos24 degrees.
– Article written by Mark, last updated on February 17th, 2017