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2. Pythagorean trigonometric identity - Wikipedia

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

   which by the Pythagorean theorem is equal to 1. This definition is valid for all angles, due to the definition of defining x = cos θ and y sin θ for the unit circle and thus x = c cos θ and y = c sin θ for a circle of radius c and reflecting our triangle in the y-axis and setting a = x and b = y.

3. List of trigonometric identities - Wikipedia

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

   Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

4. 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.

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   No. 10 Highest: New Hampshire. Living in New Hampshire, the cradle of New England, can seem idyllic until you look at property taxes. The average property tax rate is 1.25%.

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