Table of Contents
Welcome to sin 330°, our post aboutthe sine of 330 degrees.
For the sine of 330 degrees we use the abbreviation sin for the trigonometric function together with the degree symbol °, and write it as sin 330°.
If you have been looking for what is sin 330°, or if you have been wondering about sin 330 degrees in radians, then you are right here, too.
In this post you can find the sin 330° value, along with identities.
Read on to learn all about the sin of 330°.
Sin 330 Degrees
If you want to know what is sin 330 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 330°:
sin 330° = -0.5
sin 330 degrees = -0.5
The sin of 330 degrees is -0.5, the same as sin of 330 degrees in radians. To obtain 330 degrees in radian multiply 330° by $\pi$ / 180° = 11/6 $\pi$. Sin 330degrees = sin (11/6 × $\pi)$.
Our results of sin330° have been rounded to five decimal places. If you want sine 330° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sin 330 degrees insert the angle 330 in the field labelled °, but if you want to calculate sin 330 in radians, then you have to press the swap unit button first.
Calculate sin [degrees]
The identities of sine 330° are as follows:
= cos (90°-330°) = cos -240°
= sin (180°-330°) = sin -150°
-sin330°
= cos (90°+330°) = cos 420°
= sin (180°+330°) = sin 510°
There are more formulas for the double angle (2 × 330°), half angle ((330/2)°) as well as the sum, difference and products of two angles such as 330° and β.
You can locate all of them in the respective article found in the header menu. To find everything about sin -330° click the link. And here is all about cos 330°, including, for instance, a converter.
In terms of the other five trigonometric functions, sin of 330° =
- $\pm \sqrt{1-\cos^{2} 330 ^\circ}$
- $\pm\frac{\tan 330^\circ}{\sqrt{1 + \tan^{2} 330^\circ}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 330^\circ}}$
- $\pm\frac{\sqrt{\sec^{2} 330^\circ – 1} }{\sec 330^\circ}$
- $\frac{1}{\csc 330^\circ}$
As the cosecant function is the reciprocal of the sine function, 1 / csc 330° = sin330°.
In the next part of this article of this article we discuss the trigonometric significance of sin330°, and there you can also learn what the search calculations form in the sidebar is used for.
What is sin 330°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 330 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 330°.
Note that you can locate many terms including the sine330° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin330°.
Along the same lines, using the aforementioned form, can you look up terms such as sin 330° value, sin 330, sin330° value and what is the sin of 330 degrees, just to name a few.
Given the periodic property of sine of 330°, to determine the sine of an angle > 360°, e.g. 1050°, calculate sin 1050° as sin (1050 Mod 360)° = sine of 330°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is sin 330 degrees and what is the sin of 330 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 16th, 2017