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2. Law of sines - Wikipedia

   en.wikipedia.org/wiki/Law_of_sines

   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.

3. List of trigonometric identities - Wikipedia

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

   The half-angle formula for sine can be obtained by replacing with / and taking the square-root of both sides: ⁡ (/) = (⁡) /. Note that this figure also illustrates, in the vertical line segment E B ¯ {\displaystyle {\overline {EB}}} , that sin ⁡ 2 θ = 2 sin ⁡ θ cos ⁡ θ {\displaystyle \sin 2\theta =2\sin \theta \cos \theta } .

4. Proofs of trigonometric identities - Wikipedia

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

   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 that differ from 0 by a multiple of the right angle (90°).

5. Mnemonics in trigonometry - Wikipedia

   en.wikipedia.org/wiki/Mnemonics_in_trigonometry

   Signs of trigonometric functions in each quadrant. All Students Take Calculus is a mnemonic for the sign of each trigonometric functions in each quadrant of the plane. The letters ASTC signify which of the trigonometric functions are positive, starting in the top right 1st quadrant and moving counterclockwise through quadrants 2 to 4.

6. Sine and cosine - Wikipedia

   en.wikipedia.org/wiki/Sine_and_cosine

   In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...

7. Does Gatorade Hydrate You? - AOL

   www.aol.com/does-gatorade-hydrate-152500028.html

   Find out how it compares to water in terms of quenching your body's thirst.