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2. Law of cosines - Wikipedia

   en.wikipedia.org/wiki/Law_of_cosines

   Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c.. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

3. Exact trigonometric values - Wikipedia

   en.wikipedia.org/wiki/Exact_trigonometric_values

   In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained. By symmetry, the bisected side is half of the side of the equilateral triangle, so one concludes sin ⁡ ( 30 ∘ ) = 1 / 2 {\displaystyle \sin(30^{\circ ...

4. Proofs of trigonometric identities - Wikipedia

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

   Trigonometric functions specify the relationships between side lengths and interior angles of a right triangle. For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. The six trigonometric functions are defined for every real number, except, for some of them, for angles ...

5. Pythagorean trigonometric identity - Wikipedia

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

   The angle opposite the leg of length 1 (this angle can be labeled φ = π/2 − θ) has cotangent equal to the length of the other leg, and cosecant equal to the length of the hypotenuse. In that way, this trigonometric identity involving the cotangent and the cosecant also follows from the Pythagorean theorem.

6. Solution of triangles - Wikipedia

   en.wikipedia.org/wiki/Solution_of_triangles

   Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation.

7. Trump's Treasury pick, tariffs, and retail therapy: 3 themes ...

   www.aol.com/finance/trumps-treasury-pick-tariffs...

   Still, Trump's nomination of Scott Bessent to the top Treasury post raised hopes that tariffs will be more measured. And with only 21 trading days left in the year, analysts, investors, and market ...