Cos

Des Moines-based EMC Insurance Cos. turns 100 this month, and its employees, agents, shareholders and policyholders have a lot of reasons to celebrate. EMC ranks among the top 60 insurance organizations in the United States, and is one of the largest property/casualty companies in Iowa based on net written premiums. EMC Insurance Group Inc. last year was included on the Forbes “100 Most Trustworthy Companies” list, which recognizes companies that are “the most transparent and trustworthy businesses that trade on American exchanges.” Surpassing $1 billion in capital has been one of EMC’s most significant accomplishments, said Bruce Kelley, EMC’s president and CEO. Reaching that size has enabled the insurer to continue to improve its economies of scale and benefit its policyholders, he said. “We were able to achieve this because of our guiding beliefs of honesty and integrity, continuous improvement, spirit of service and teamwork,” Kelley said. “We’ll be coming out with a centennial book; I think you’ll see in that how we’ve been able to achieve 100 years by adhering to those four qualities.” The advent of the Internet has been significant for the company, Kelley noted. “It changed the way we related to our agents, and made them more competitive with direct (insurance) writers,” he said. EMC’s roots date back to April 24, 1911, when a group of businessmen known as the Iowa Manufacturers Association (IMA), now the Iowa Association of Business and Industry, formed Employers M...

• العربية • Azərbaycanca • Беларуская • Català • Cymraeg • Deutsch • Español • فارسی • Français • 한국어 • Հայերեն • हिन्दी • Hrvatski • Bahasa Indonesia • Italiano • עברית • Қазақша • Lombard • Magyar • Nederlands • 日本語 • Norsk bokmål • Polski • Português • Română • Русский • Саха тыла • کوردی • Српски / srpski • Svenska • தமிழ் • ไทย • Українська • Tiếng Việt • 粵語 • 中文 sin 2 ⁡ θ + cos 2 ⁡ θ = 1 , for the sin ⁡ θ = ± 1 − cos 2 ⁡ θ , cos ⁡ θ = ± 1 − sin 2 ⁡ θ . , or both yields the following identities: 1 + cot 2 ⁡ θ = csc 2 ⁡ θ 1 + tan 2 ⁡ θ = sec 2 ⁡ θ sec 2 ⁡ θ + csc 2 ⁡ θ = sec 2 ⁡ θ csc 2 ⁡ θ Reflections, shifts, and periodicity [ ] By examining the unit circle, one can establish the following properties of the trigonometric functions. Reflections [ ] a, b) when shifting the reflection angle α of this reflected line (vector) has the value θ ′ = 2 α − θ . Shifts and periodicity [ ] a, b) when shifting the angle θ and sgn is the sgn ⁡ ( sin ⁡ θ ) = sgn ⁡ ( csc ⁡ θ ) = they take repeating values (see Angle sum and difference identities [ ] sin ⁡ ( α + β ) = sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β sin ⁡ ( α − β ) = sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β cos ⁡ ( α + β ) = cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β cos ⁡ ( α − β ) = cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β sin ⁡ ( ∑ i = 1 ∞ θ i ) = ∑ odd k ≥ 1 ( − 1 ) k − 1 2 ∑ A ⊆ ) be the kth-degree e 0 = 1 e 1 = ∑ i x i = ∑ i tan ⁡ θ i e 2 = ∑ i < j x i x j = ∑ i < j tan ⁡ θ i tan ⁡ θ j e 3 = ∑ i < j < k x i x j x k = ∑ i < j < k tan ⁡ θ i t...

Quick navigation: • • • • The Cosine function ( cos(x) ) The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the Since cos(α) = b/c, from this definition it follows that the cosine of any angle is always less than or equal to one, and it can take negative values. The cosine of a 90-degree angle is equal to zero, since in order to calculate it we would need a triangle with two 90-degree angles, which is the definition of a straight line. As the third side of the triangle does not exist (length is 0), the cosine equals zero (0 divided by the length of the hypotenuse equals 0). You can use this cosine calculator to verify this. A commonly used law in trigonometry which is trivially derived from the cosine definition is the law of cosines: c 2 = a 2 + b 2 - 2ab·cosγ Related trigonometric functions The reciprocal of cosine is the secant: sec(x), sometimes written as secant(x), which gives the ratio of the length of the hypotenuse to the length of the side opposite to the angle. The inverse of the cosine is the arccosine function: acos(x) or arccos(x), which takes values between 0 and 180 degrees. It is useful for finding an angle x when cos(x) is known. How to calculate the cosine of an angle? Our cosine calculator supports input in both degrees and radians, so once you have measured the angle, or looked up the plan or schematic, you just input the measurement and press "calculate". This is how easy it is. If th...

Trigonometric Identities Email this page to a friend Resources · · · · · · Search Trigonometric Identities ( sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a sin(-x) = -sin(x) csc(-x) = -csc(x) cos(-x) = cos(x) sec(-x) = sec(x) tan(-x) = -tan(x) cot(-x) = -cot(x) sin ^2(x) + cos ^2(x) = 1 tan ^2(x) + 1 = sec ^2(x) cot ^2(x) + 1 = csc ^2(x) sin(x y) = sin x cos y cos x sin y cos(x y) = cos x cosy sin x sin y tan(x y) = (tan x tan y) / (1 tan x tan y) sin(2x) = 2 sin x cos x cos(2x) = cos ^2(x) - sin ^2(x) = 2 cos ^2(x) - 1 = 1 - 2 sin ^2(x) tan(2x) = 2 tan(x) / (1 - tan ^2(x)) sin ^2(x) = 1/2 - 1/2 cos(2x) cos ^2(x) = 1/2 + 1/2 cos(2x) sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 ) cos x - cos y = -2 sin( (x - y)/2 ) sin( (x + y)/2 ) Trig Table of Common Angles angle 0 30 45 60 90 sin ^2(a) 0/4 1/4 2/4 3/4 4/4 cos ^2(a) 4/4 3/4 2/4 1/4 0/4 tan ^2(a) 0/4 1/3 2/2 3/1 4/0 Given Triangle abc, with angles A,B,C; a is opposite to A, b opposite B, c opposite C: a/sin(A) = b/sin(B) = c/sin(C) (Law of Sines) c ^2 = a ^2 + b ^2 - 2ab cos(C) b ^2 = a ^2 + c ^2 - 2ac cos(B) a ^2 = b ^2 + c ^2 - 2bc cos(A) (Law of Cosines) (a - b)/(a + b) = tan [(A-B)/2] / tan [(A+B)/2] (Law of Tangents) Contact us | Advertising & Sponsorship | Partnership | Link to us © 2000-2005 Math.com. All rights reserved.

More things to try: • • • References Abramowitz, M. and Stegun, I.A. (Eds.). "Circular Functions."§4.3 in Beyer, W.H. Cvijović, D. and Klinowski, J. "Closed-Form Summation of Some Trigonometric Series." Math. Comput. 64, 205-210, 1995. Hansen, E.R. Hardy, G.H. Jeffrey, A. "Trigonometric Identities."§2.4 in Kaplan, S.R. "The Dottie Number." Math. Mag. 80, 73-74, 2007. Project Mathematics. "Sines and Cosines, Parts I-III." Videotape. Sloane, N.J.A. Sequence Spanier, J. and Oldham, K.B. "The Sine and Cosine Functions." Ch.32 in Tropfke, J. Teil IB, §1. "Die Begriffe des Sinus und Kosinus eines Winkels." In Geschichte der Elementar-Mathematik in systematischer Darstellung mit besonderer Berücksichtigung der Fachwörter, fünfter Band, zweite aufl. Berlin and Leipzig, Germany: de Gruyter, pp.11-23, 1923. Trott, M. Zwillinger, D. (Ed.). "Trigonometric or Circular Functions."§6.1 in Referenced on Wolfram|Alpha Cite this as: MathWorld--A Wolfram Web Resource. Subject classifications • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Created, developed and nurtured by Eric Weisstein at Wolfram Research

• 210609-Z-YJ938-018 Members of the 168th Cyberspace Operations Group talk with Army National Guard and Kosovo Security Forces members during Exercise Adriatic Thunder in Croatia, June 9, 2021. The 168th COS currently hosts members of the Defense Cyber Operations Element during drills. (U.S. Army National Guard photos by Sgt. Samantha Hircock) • Published Oct. 18, 2021 • By Tech. Sgt. Michael Kelly • 132d Wing DES MOINES, Iowa -- Since being activated in 2017, the 168th Cyberspace Operations Squadron (COS), operating out of the 132d Wing, Iowa Air National Guard, has executed its mission of providing cyber protections teams to identify, pursue and mitigate cyberspace threats impacting Department of Defense information networks, critical links, and nodes. As the State of Iowa looks to ratchet up its cyber defense capabilities, Iowa National Guard Joint Force Headquarters (JFHQ) turned to the Defense Cyberspace Operations Element (DCOE) to spearhead this initiative. The DCOE is state level Army coordinated cyberspace team. While the 168th COS serves a variety of clients both state and federal, the DCOE’s primary mission will be to support the state level missions. “We’re all training to do the same types of things,” said Lt. Col. Eric Eggers, DCOE team chief. “Our goal is to get our people the opportunity to train and grow the (DCOE) team to be a feasible size element. Having the Air and Army work together in this is much more fiscally beneficial.” As facilities and infrastr...

More • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Cosine Function The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse. The cosine function is one of the three main primary • Cosine Definition • Cosine Formula • Cosine Table • Cosine Properties With Respect to the Quadrants • Cos Graph • Inverse Cosine (arccos) • Cosine Identities • Cos Calculus • Law of Cosines in Trigonometry • Additional Cos Values • Cosine Worksheet • Trigonometry Related Articles for Class 10 • Trigonometry Related Articles for Class 11 and 12 • Other Trigonometry Related Topics Other Trigonometric Functions Cosec (Csc) Function Sec Function Cot Function Cosine Definition In a right-triangle, cos is defined as the ratio of the length of the adjacent side to that of the longest side i.e...