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Welcome to sin 48°, our post aboutthe sine of 48 degrees.
For the sine of 48 degrees we use the abbreviation sin for the trigonometric function together with the degree symbol °, and write it as sin 48°.
If you have been looking for what is sin 48°, or if you have been wondering about sin 48 degrees in radians, then you are right here, too.
In this post you can find the sin 48° value, along with identities.
Read on to learn all about the sin of 48°.
Sin 48 Degrees
If you want to know what is sin 48 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 48°:
sin 48° = 0.74314
sin 48 degrees = 0.74314
The sin of 48 degrees is 0.74314, the same as sin of 48 degrees in radians. To obtain 48 degrees in radian multiply 48° by $\pi$ / 180° = 4/15 $\pi$. Sin 48degrees = sin (4/15 × $\pi)$.
Our results of sin48° have been rounded to five decimal places. If you want sine 48° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sin 48 degrees insert the angle 48 in the field labelled °, but if you want to calculate sin 48 in radians, then you have to press the swap unit button first.
Calculate sin [degrees]
The identities of sine 48° are as follows:
= cos (90°-48°) = cos 42°
= sin (180°-48°) = sin 132°
-sin48°
= cos (90°+48°) = cos 138°
= sin (180°+48°) = sin 228°
There are more formulas for the double angle (2 × 48°), half angle ((48/2)°) as well as the sum, difference and products of two angles such as 48° and β.
You can locate all of them in the respective article found in the header menu. To find everything about sin -48° click the link. And here is all about cos 48°, including, for instance, a converter.
In terms of the other five trigonometric functions, sin of 48° =
- $\pm \sqrt{1-\cos^{2} 48 ^\circ}$
- $\pm\frac{\tan 48^\circ}{\sqrt{1 + \tan^{2} 48^\circ}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 48^\circ}}$
- $\pm\frac{\sqrt{\sec^{2} 48^\circ – 1} }{\sec 48^\circ}$
- $\frac{1}{\csc 48^\circ}$
As the cosecant function is the reciprocal of the sine function, 1 / csc 48° = sin48°.
In the next part of this article of this article we discuss the trigonometric significance of sin48°, and there you can also learn what the search calculations form in the sidebar is used for.
What is sin 48°?
In a triangle which has one angle of 90 degrees, the sine of the angle of 48° is the ratio of the length of the opposite side o to the length of the hypotenuse h: sin 48° = o/h.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 48 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 48°.
Bringing together the triangle definition and the unit circle definition of sine 48 degrees, o = y and h = r = 1. It follows that $y\hspace{5px} =\hspace{5px}\frac{opposite}{hypotenuse}\hspace{5px}=\hspace{5px}\sin 48^\circ$.
Note that you can locate many terms including the sine48° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin48°.
Along the same lines, using the aforementioned form, can you look up terms such as sin 48° value, sin 48, sin48° value and what is the sin of 48 degrees, just to name a few.
Given the periodic property of sine of 48°, to determine the sine of an angle > 360°, e.g. 768°, calculate sin 768° as sin (768 Mod 360)° = sine of 48°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is sin 48 degrees and what is the sin of 48 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 16th, 2017