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  2. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. 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.

  3. 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.

  4. Pythagorean trigonometric identity - Wikipedia

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

    Similar right triangles illustrating the tangent and secant trigonometric functions Trigonometric functions and their reciprocals on the unit circle. The Pythagorean theorem applied to the blue triangle shows the identity 1 + cot 2 θ = csc 2 θ, and applied to the red triangle shows that 1 + tan 2 θ = sec 2 θ.

  5. Proofs of trigonometric identities - Wikipedia

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

    For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin θ < θ. So we have ⁡ < <. For negative values of θ we have, by the symmetry of the sine function

  6. Florida mom arrested for saying ‘Delay Deny Depose’ on call ...

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    A Florida mother was arrested for saying the phrase “Delay, Deny, Depose” — in an apparent reference to the targeted UnitedHealthcare CEO killing — on a call to a health insurance company ...

  7. Hannah Kobayashi Has Been Found a Month After Voluntarily ...

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    L.A. police have said they spent weeks untangling Hannah's movements around the city between Nov. 8, when she arrived from Maui in Hawaii, and Nov. 11, when contact was lost.

  8. Trigonometry of a tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Trigonometry_of_a_tetrahedron

    The following are trigonometric quantities generally associated to a general tetrahedron: The 6 edge lengths - associated to the six edges of the tetrahedron.; The 12 face angles - there are three of them for each of the four faces of the tetrahedron.

  9. Starbucks CEO aims to improve employee relationship after ...

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    Its limited-time offerings didn't succeed, and its value perception weakened. US and North American same-store sales dropped 6% in its latest quarter , while adjusted earnings per share plunged 24%.