Law of cosines

history, there is a depth of knowledge to be learned. For math 3 and math 4, we are introduced to the world of trigonometry. So far, we have learned that there are currently three main trigonometric functions, cosine, sine, and tangent. But today I want to explore the other side of the trigonometric world, the inverse functions of cosine, sine, and tangent. For the first inverse function, cosine, we know that it is obviously the inverse of cosine. The cosine function uses a angle of a right triangle and gives use the ratio of the x-value and the r-value (“Trig Functions:…

that this definition has a weak point. It does not tell us exactly which right triangle to draw. There are many right triangles, large ones and small ones that include a given angle α. The Law of Sines In a triangle, there are two expressions for altitude (height on one of the sides). I…

Sounds created by blacksmiths were beautiful to him; therefore, he wanted to know how the scientific law applied to this ravishing resonance. After conducting several observations; his conclusions were fallacious; nonetheless, because of this, Pythagoras “discovered the properties” of string scope. Although people rejected his beliefs in Samos, later on his philosophies became esteemed by others; moreover, Pythagoreanism, which was based on Pythagoras’s beliefs, was created. Beliefs included the…

Literature uses the solitude to create strength and society follows with that prophecy as people believe it takes strength that loneliness brings. The belly of the whale only emphasizes the commitment they attach to themselves at this point since the old world has become out of reach and they must focus on finding the exit of this predicament in which they find themselves and when they do it obviously, they will find a new world that leads to the continuation of the journey and get around the…

If R and r is the Circumradius and Inradius of a non-degenerate triangle then due to Euler we have an Inequality stated as and the equality holds when the triangle is equilateral. This ubiquitous inequality occurs in the literature in many different equivalent forms [4] and also Many other different simple approaches for proving this inequality are known. (some of them can be found in [2], [3], [5], [17], and [18] ). In this article we present a proof for this Inequality based on two basic…

The cosine was developed as the sine of the complement of the angle, and notation for cosine was also varied. The term sinus residuae was used by Viete while Gunter preferred co-sinus in the year 1620. Cavalieri used Si.2, Oughtred used s co arc and Wallis used S [2]. The tangent and cotangent developed out of the need to calculate the height of an object casting a shadow of a certain length, which was of critical importance for the sundial. Thales is known to have used the method of lengths of…

Further, Boersig (2012, p.244) states children in a police interview are substantially disadvantaged, due to their lack of maturity and inability to necessarily understand the process which they are undergoing, which has the potential to cause them to make false admissions or to breach their own rights, such as the right to silence or to prevent self-incrimination. This potentially leads to a power imbalance between them and any law enforcement officer that may be involved (Boersig 2012,…

To become a criminal lawyer there are certain criteria’s that must be met, like the education requirements, skills and personality traits associated with the position. One must complete an undergraduate degree from a 4-year university or college. Potential criminal lawyers may benefit from courses such as government, history, economics, public speaking and sociology, but these aren’t required to see how most 4-year institutions offer a pre law major. It is also very important that individuals…

they were told. The 1960s is when a union of women were formed and decided to take action to have equal rights not only for whites and blacks but for women as well. Shirley Chisholm was one of these women. In her “Equal Rights for Women” speech, she decided to speak out about acquiring equality for women by establishing an affirmative case for the Equal Rights Amendment. Shirley Chisholm delivered her speech on May 21, 1969 in Washington, D.C., to push for the equal rights amendment in essence…

Legalization of Marijuana AKA WEED! Why we should have to legalization of marijuana is a big topic for a lot of people. Marijuana should be legalized because it’s not that bad as people take it. People see weed as bad drug, when really it’s not. It actually has more positive than it does negative. My opinion for this topic is, we should be able to vote and then decide if it should be illegal, not by one person banding it from the law. Like a president, we understand he is supposed to make the…