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  2. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Subtracting ⁡ from both sides and dividing by 2 by two yields the power-reduction formula for sine: ⁡ = (⁡ ()). The half-angle formula for sine can be obtained by replacing θ {\displaystyle \theta } with θ / 2 {\displaystyle \theta /2} and taking the square-root of both sides: sin ⁡ ( θ / 2 ) = ± ( 1 − cos ⁡ θ ) / 2 ...

  3. Constitution of North Korea - Wikipedia

    en.wikipedia.org/wiki/Constitution_of_North_Korea

    Chapter 1 of the Socialist Constitution consists of 18 articles that outline the political structure of North Korea. Article 1 states that North Korea, which has an official name of the Democratic People's Republic of Korea, is an independent socialist state, with Article 2 also stating it as a revolutionary state. [11]

  4. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    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.

  5. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    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 ...

  6. North Korea - Wikipedia

    en.wikipedia.org/wiki/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).

  7. Tangent half-angle formula - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle_formula

    The angle between the horizontal line and the shown diagonal is ⁠ 1 / 2 ⁠ (a + b). This is a geometric way to prove the particular tangent half-angle formula that says tan1 / 2 ⁠ (a + b) = (sin a + sin b) / (cos a + cos b). The formulae sin ⁠ 1 / 2 ⁠ (a + b) and cos ⁠ 1 / 2 ⁠ (a + b) are the ratios of the actual distances to ...

  8. Supreme People's Assembly - Wikipedia

    en.wikipedia.org/wiki/Supreme_People's_Assembly

    [1] [2] It consists of one deputy from each of North Korea's 687 constituencies, [3] elected to five-year terms. [4] The constitution identifies the SPA as the "highest organ of state power" and all state positions, including the President of the State Affairs and in theory the Premier of the Cabinet, trace their authority to it

  9. Law of North Korea - Wikipedia

    en.wikipedia.org/wiki/Law_of_North_Korea

    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.