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  2. Law of cosines - Wikipedia

    en.wikipedia.org/wiki/Law_of_cosines

    Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c.. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

  3. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid if x is a complex number, and is also called Euler's formula in this more general case. [1] Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering.

  4. Cobalt sulfide - Wikipedia

    en.wikipedia.org/wiki/Cobalt_sulfide

    Cobalt sulfide is the name for chemical compounds with a formula Co x S y. Well-characterized species include minerals with the formulas CoS, CoS 2 , Co 3 S 4 , and Co 9 S 8 . In general, the sulfides of cobalt are black, semiconducting , insoluble in water, and nonstoichiometric .

  5. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Fig. 1a – Sine and cosine of an angle θ defined using the unit circle Indication of the sign and amount of key angles according to rotation direction. Trigonometric ratios can also be represented using the unit circle, which is the circle of radius 1 centered at the origin in the plane. [37]

  6. Trigonometry of a tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Trigonometry_of_a_tetrahedron

    The four relations given by the sine law further reduce the number of degrees of freedom, from 8 down to not 4 but 5, since the fourth constraint is not independent of the first three. Thus the space of all shapes of tetrahedra is 5-dimensional.

  7. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    The sine and the cosine functions, for example, are used to describe simple harmonic motion, which models many natural phenomena, such as the movement of a mass attached to a spring and, for small angles, the pendular motion of a mass hanging by a string. The sine and cosine functions are one-dimensional projections of uniform circular motion.

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  9. Law of tangents - Wikipedia

    en.wikipedia.org/wiki/Law_of_tangents

    In the time before electronic calculators were available, this method was preferable to an application of the law of cosines c = √ a 2 + b 2 − 2ab cos γ, as this latter law necessitated an additional lookup in a logarithm table, in order to compute the square root.