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Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.
Constitutions of the Countries of the World: North Korea. New York: Oceana Publications. ISBN 978-0-379-00467-0. Cho Sung Yoon (1986). The Constitution of the Democratic People's Republic of Korea. Washington: Library of Congress Law Library. OCLC 123223358. Dae-kyu Yoon (2003). "The Constitution of North Korea: Its Changes and Implications".
Similar right triangles illustrating the tangent and secant trigonometric functions Trigonometric functions and their reciprocals on the unit circle. The Pythagorean theorem applied to the blue triangle shows the identity 1 + cot 2 θ = csc 2 θ, and applied to the red triangle shows that 1 + tan 2 θ = sec 2 θ.
[1] [2] One reason for this is that they can greatly simplify differential equations that do not need to be answered with absolute precision. There are a number of ways to demonstrate the validity of the small-angle approximations. The most direct method is to truncate the Maclaurin series for each of the trigonometric functions.
This geometric argument relies on definitions of arc length and area, which act as assumptions, so it is rather a condition imposed in construction of trigonometric functions than a provable property. [2] For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin ...
The Ten Principles have come to supersede the Constitution of North Korea and edicts by the Workers' Party of Korea, and in practice, serve as the supreme law of the country. [6] [7] [8] In North Korea, the Ten Principles must be memorized by every citizen, and they ensure absolute loyalty and obedience to Kim Il Sung, Kim Jong Il, and Kim Jong ...
The law of North Korea (officially called the Democratic People's Republic of Korea) is a codified civil law system inherited from the Japanese and influenced by the Soviet Union. It is governed by The Socialist Constitution and operates within the political system of North Korea.
North Korea, [d] officially the Democratic People's Republic of Korea (DPRK), [e] is a country in East Asia.It constitutes the northern half of the Korean Peninsula and borders China and Russia to the north at the Yalu (Amnok) and Tumen rivers, and South Korea to the south at the Korean Demilitarized Zone (DMZ).