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Welcome to sin 25°, our post aboutthe sine of 25 degrees.
For the sine of 25 degrees we use the abbreviation sin for the trigonometric function together with the degree symbol °, and write it as sin 25°.
If you have been looking for what is sin 25°, or if you have been wondering about sin 25 degrees in radians, then you are right here, too.
In this post you can find the sin 25° value, along with identities.
Read on to learn all about the sin of 25°.
Sin 25 Degrees
If you want to know what is sin 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 sin 25°:
sin 25° = 0.42262
sin 25 degrees = 0.42262
The sin of 25 degrees is 0.42262, the same as sin of 25 degrees in radians. To obtain 25 degrees in radian multiply 25° by $\pi$ / 180° = 5/36 $\pi$. Sin 25degrees = sin (5/36 × $\pi)$.
Our results of sin25° have been rounded to five decimal places. If you want sine 25° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sin 25 degrees insert the angle 25 in the field labelled °, but if you want to calculate sin 25 in radians, then you have to press the swap unit button first.
Calculate sin [degrees]
The identities of sine 25° are as follows:
= cos (90°-25°) = cos 65°
= sin (180°-25°) = sin 155°
-sin25°
= cos (90°+25°) = cos 115°
= sin (180°+25°) = sin 205°
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 sin -25° click the link. And here is all about cos 25°, including, for instance, a converter.
In terms of the other five trigonometric functions, sin of 25° =
- $\pm \sqrt{1-\cos^{2} 25 ^\circ}$
- $\pm\frac{\tan 25^\circ}{\sqrt{1 + \tan^{2} 25^\circ}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 25^\circ}}$
- $\pm\frac{\sqrt{\sec^{2} 25^\circ – 1} }{\sec 25^\circ}$
- $\frac{1}{\csc 25^\circ}$
As the cosecant function is the reciprocal of the sine function, 1 / csc 25° = sin25°.
In the next part of this article of this article we discuss the trigonometric significance of sin25°, and there you can also learn what the search calculations form in the sidebar is used for.
What is sin 25°?
In a triangle which has one angle of 90 degrees, the sine of the angle of 25° is the ratio of the length of the opposite side o to the length of the hypotenuse h: sin 25° = o/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, y = sin 25°.
Bringing together the triangle definition and the unit circle definition of sine 25 degrees, o = y and h = r = 1. It follows that $y\hspace{5px} =\hspace{5px}\frac{opposite}{hypotenuse}\hspace{5px}=\hspace{5px}\sin 25^\circ$.
Note that you can locate many terms including the sine25° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin25°.
Along the same lines, using the aforementioned form, can you look up terms such as sin 25° value, sin 25, sin25° value and what is the sin of 25 degrees, just to name a few.
Given the periodic property of sine of 25°, to determine the sine of an angle > 360°, e.g. 745°, calculate sin 745° as sin (745 Mod 360)° = sine of 25°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is sin 25 degrees and what is the sin of 25 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 16th, 2017