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  2. List of trigonometric identities - Wikipedia

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

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  3. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

  4. File:Sinc function (both).svg - Wikipedia

    en.wikipedia.org/wiki/File:Sinc_function_(both).svg

    # Set 1300×975 SVG output and filename # The font size (fsize) sets the size for the circles, too. set samples 400 set terminal svg enhanced size 1300 975 fname "Times" fsize 36 set output "sinc function (both).svg" # Set y axis limits so the plot doesn't go right to the edges of the graph set yrange [-0.3: 1.1] set xrange [-6 * pi: 6 * pi] set lmargin 5 set bmargin-10 # No legend needed #set ...

  5. Sine and cosine - Wikipedia

    en.wikipedia.org/wiki/Sine_and_cosine

    The fixed point iteration x n+1 = cos(x n) with initial value x 0 = −1 converges to the Dottie number. Zero is the only real fixed point of the sine function; in other words the only intersection of the sine function and the identity function is sin ⁡ ( 0 ) = 0 {\displaystyle \sin(0)=0} .

  6. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The red section on the right, d, is the difference between the lengths of the hypotenuse, H, and the adjacent side, A.As is shown, H and A are almost the same length, meaning cos θ is close to 1 and ⁠ θ 2 / 2 ⁠ helps trim the red away.

  7. Puzzle solutions for Wednesday, Dec. 4, 2024

    www.aol.com/news/puzzle-solutions-wednesday-dec...

    Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers.

  8. Cruise Into Christmas with the Best Drive-Through Holiday ...

    www.aol.com/cruise-christmas-best-drive-holiday...

    Get ready to light up your holidays with this 2.5-mile drive-through extravaganza! Take a ride bursting with festive scenes, glowing characters, and enough twinkling lights to make your car feel ...

  9. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    Euler's identity is a special case of Euler's formula, which states that for any real number x, = ⁡ + ⁡ where the inputs of the trigonometric functions sine and cosine are given in radians. In particular, when x = π, = ⁡ + ⁡. Since