Table of Contents
Welcome to cos -113°, our post aboutthe cosine of -113 degrees.
For the cos minus 113 degrees we use the abbreviation cos for the trigonometric function together with the degree symbol °, and write it as cos -113°.
If you have been looking for what is cos -113°, or if you have been wondering about cos -113 degrees in radians, then you are right here, too.
In this post you can find the cos -113° value, along with identities.
Read on to learn all about the cos of -113°.
Cos Minus 113 Degrees
If you want to know what is cos -113 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 -113°:
cos -113° = -0.39073
cos -113 degrees = -0.39073
The cos of -113 degrees is -0.39073, the same as cos of -113 degrees in radians. To obtain -113 degrees in radian multiply -113° by $\pi$ / 180° = -113/180 $\pi$. Cos -113degrees = cos (-113/180 × $\pi)$.
Our results of cos-113° have been rounded to five decimal places. If you want cosine -113° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate cos -113 degrees insert the angle -113 in the field labelled °, but if you want to calculate cos -113 in radians, then you have to press the swap unit button first.
Calculate cos [degrees]
The identities of cosine -113° are as follows:
= sin (90° – 113°) = sin -23°
= sin (90° + 113°) = sin 203°
-cos-113°
= cos (180° – 113°) = cos 67°
= cos (180° + 113°) = cos 293°
There are more formulas for the double angle (2 × -113°), half angle ((-113/2)°) as well as the sum, difference and products of two angles such as -113° and β.
You can locate all of them in the respective article found in the header menu. To find everything about cos 113° click the link. And here is all about sin -113°, including, for instance, a converter.
In terms of the other five trigonometric functions, cos of -113° =
- $\pm \sqrt{1-\sin^{2} (-113 ^\circ)}$
- $\pm\frac{1}{\sqrt{1 + \tan^{2} (-113^\circ)}}$
- $\pm\frac{\cot (-113^\circ)}{\sqrt{1 + \cot^{2} (-113^\circ)}}$
- $\frac{1}{\sec (-113^\circ)}$
- $\pm\frac{\sqrt{\csc^{2} (-113^\circ) – 1} }{\csc (-113^\circ)}$
As the cosine function is the reciprocal of the secant function, 1 / sec -113° = cos-113°.
In the next part we discuss the trigonometric significance of cos minus 113°, and there you can also learn what the search calculations form in the sidebar is used for.
What is cos -113°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, -113 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 -113°.
Note that you can locate many terms including the cosine-113° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos-113°.
Along the same lines, using the aforementioned form, can you look up terms such as cos -113° value, cos -113, cos-113° value and what is the cos of -113 degrees, just to name a few.
Given the periodic property of cosine of -113°, to determine the cosine of an angle < -360°, e.g. -833°, calculate cos -833° as cos (-833 Mod 360)° = cosine of -113°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is cos -113 degrees and what is the cos of -113 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 23rd, 2017