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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

   When radians (rad) are employed, the angle is given as the length of the arc of the unit circle subtended by it: the angle that subtends an arc of length 1 on the unit circle is 1 rad (≈ 57.3°), and a complete turn (360°) is an angle of 2 π (≈ 6.28) rad. For real number x, the notation sin x, cos x, etc. refers to the value of the ...

4. 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} .

5. Small-angle approximation - Wikipedia

   en.wikipedia.org/wiki/Small-angle_approximation

   The sine and tangent small-angle approximations are used in relation to the double-slit experiment or a diffraction grating to develop simplified equations like the following, where y is the distance of a fringe from the center of maximum light intensity, m is the order of the fringe, D is the distance between the slits and projection screen ...

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   Nearly $3.6 billion Canadian (US $2.7 billion) worth of goods and services cross the border each day. About 60% of U.S. crude oil imports are from Canada, and 85% of U.S. electricity imports are ...