Cos 25°

Welcome to cos 25°, our post aboutthe cosine of 25 degrees.

For the cosine of 25 degrees we use the abbreviation cos for the trigonometric function together with the degree symbol °, and write it as cos 25°.

If you have been looking for what is cos 25°, or if you have been wondering about cos 25 degrees in radians, then you are right here, too.

In this post you can find the cos 25° value, along with identities.

Read on to learn all about the cos of 25°.

Cos 25 Degrees

If you want to know what is cos 25 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 25°:

cos25° = 0.90631
cos 25° = 0.90631
cos 25 degrees = 0.90631

The cos of 25 degrees is 0.90631, the same as cos of 25 degrees in radians. To obtain 25 degrees in radian multiply 25° by $\pi$ / 180° = 5/36 $\pi$. Cos 25degrees = cos (5/36 × $\pi)$.

Our results of cos25° have been rounded to five decimal places. If you want cosine 25° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate cos 25 degrees insert the angle 25 in the field labelled °, but if you want to calculate cos 25 in radians, then you have to press the swap unit button first.

A Really Cool Cosine Calculator and Useful Information! Please ReTweet. Click To TweetBesides cos25°, similar trigonometric calculations on our site include, but are not limited, to:

• Cos 230°
• Cos 218°
• Cos 82°

The identities of cosine 25° are as follows:

cos25°
= sin (90°+25°) = sin 115°
= sin (90°-25°) = sin 65°

-cos25°
= cos (180°+25°) = cos 205°
= cos (180°-25°) = cos 155°

Note that cos25° is periodic: cos (25° + n × 360°) = cos 25 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 25°), half angle ((25/2)°) as well as the sum, difference and products of two angles such as 25° and β.

You can locate all of them in the respective article found in the header menu. To find everything about cos -25° click the link. And here is all about sin 25°, including, for instance, a converter.

In terms of the other five trigonometric functions, cos of 25° =

• $\pm \sqrt{1-\sin^{2} 25 ^\circ}$
• $\pm\frac{1}{\sqrt{1 + \tan^{2} 25^\circ}}$
• $\pm\frac{\cot 25^\circ}{\sqrt{1 + \cot^{2} 25^\circ}}$
• $\frac{1}{\sec 25^\circ}$
• $\pm\frac{\sqrt{\csc^{2} 25^\circ – 1} }{\csc 25^\circ}$

As the cosine function is the reciprocal of the secant function, 1 / sec 25° = cos25°.

In the next part we discuss the trigonometric significance of cos25°, and there you can also learn what the search calculations form in the sidebar is used for.

What is cos 25°?

In a triangle which has one angle of 90 degrees, the cosine of the angle of 25° is the ratio of the length of the adjacent side a to the length of the hypotenuse h: cos 25° = a/h.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 25 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 25°.

Bringing together the triangle definition and the unit circle definition of cosine 25 degrees, a = x and h = r = 1. It follows that $x\hspace{5px} =\hspace{5px}\frac{adjacent}{hypotenuse}\hspace{5px}=\hspace{5px}\cos 25^\circ$.

Note that you can locate many terms including the cosine25° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos25°.

Along the same lines, using the aforementioned form, can you look up terms such as cos 25° value, cos 25, cos25° value and what is the cos of 25 degrees, just to name a few.

Given the periodic property of cosine of 25°, to determine the cosine of an angle > 360°, e.g. 745°, calculate cos 745° as cos (745 Mod 360)° = cosine of 25°, or look it up with our form.

Conclusion

The frequently asked questions in the context include what is cos 25 degrees and what is the cos of 25 degrees for example; reading our content they are no-brainers.

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– Article written by Mark, last updated on February 17th, 2017