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The formula is given in verses 17–19, chapter VII, Mahabhaskariya of Bhāskara I. A translation of the verses is given below: [3] (Now) I briefly state the rule (for finding the bhujaphala and the kotiphala, etc.) without making use of the Rsine-differences 225, etc. Subtract the degrees of a bhuja (or koti) from the degrees of a half circle (that is, 180 degrees).
In mathematics, the values of the trigonometric functions can be expressed approximately, as in (/), or exactly, as in (/) = /.While trigonometric tables contain many approximate values, the exact values for certain angles can be expressed by a combination of arithmetic operations and square roots.
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.
Proofs of the mathematical result that the rational number 22 / 7 is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of Diophantine approximations.
If you have an inherited intolerance to alcohol, a mutated gene could be the culprit. An at-home DNA test could detect whether you have the mutation, but doctors say there could be some drawbacks.
where c 1 and c 2 are constants that can be non-real and which depend on the initial conditions. [6] (Indeed, since y(x) is real, c 1 − c 2 must be imaginary or zero and c 1 + c 2 must be real, in order for both terms after the last equals sign to be real.) For example, if c 1 = c 2 = 1 / 2 , then the particular solution y 1 (x) = e ax ...
Image source: Getty Images. 1. Lockheed Martin. After its stock price reached an all-time high earlier this year, Lockheed Martin and its defense contractor peers have sold off considerably over ...
From January 2008 to December 2012, if you bought shares in companies when Jeffrey A. Joerres joined the board, and sold them when he left, you would have a -15.0 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
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