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The Dottie number is the unique real fixed point of the cosine function. In mathematics, the Dottie number or the cosine constant is a constant that is the unique real root of the equation =, where the argument of is in radians. The decimal expansion of the Dottie number is given by:
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.
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.
The application of the SSNIP test involves interviewing consumers regarding buying decisions and determining whether a hypothetical monopolist or cartel could profit from a price increase of 5% for at least one year (assuming that "the terms of sale of all other products are held constant"). If sufficient numbers of buyers are likely to switch ...
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.
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"Come on down" for a lot of Price Is Right rules and fun facts you probably never knew. Contestants have to be a certain age. According to this application form , contestants on The Price Is Right ...
The starting corner equals the product of its two nearest neighbors. sin A = cos A ⋅ tan A {\displaystyle \sin A=\cos A\cdot \tan A} The sum of the squares of the two items at the top of a triangle equals the square of the item at the bottom.