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  2. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_trigonometric...

    The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc. [1] (This convention is used throughout this article.) This notation arises from the following geometric relationships: [ citation needed ] when measuring in radians, an angle of θ radians will correspond to an arc ...

  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. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    Trigonometric identities may help simplify the answer. [ 1 ] [ 2 ] Like other methods of integration by substitution, when evaluating a definite integral, it may be simpler to completely deduce the antiderivative before applying the boundaries of integration.

  5. Proofs of trigonometric identities - Wikipedia

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

    There are several equivalent ways for defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen definition. The oldest and most elementary definitions are based on the geometry of right triangles and the ratio between their sides.

  6. 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 ...

  7. Elon Musk Wants To Simplify the Tax Code: What That ... - AOL

    www.aol.com/elon-musk-wants-simplify-tax...

    However, simplifying the tax code could also eliminate many deductions and credits that benefit specific groups, such as low-income families or those with high medical expenses, Yen pointed out.

  8. WR Eric Singleton Jr., top portal target, picks Auburn - AOL

    www.aol.com/wr-eric-singleton-jr-top-105309562.html

    Sophomore wide receiver Eric Singleton Jr., one of the top skill-position targets in the transfer portal, is headed to Auburn to catch passes from Jackson Arnold.

  9. Talk:List of trigonometric identities/Archive 1 - Wikipedia

    en.wikipedia.org/wiki/Talk:List_of_trigonometric...

    I believe I said above, "If arcsin(x)=y, what's arcsin(2x) in terms of x and y?". When I said "in terms of", I mean in algebraic terms. Since y can have more than one value, arcsin(2x) can have more than one value as well. Timeroot 01:58, 7 February 2010 (UTC) Well, it shows that for x rational, arcsin(2x) can be transcendental. But math loses ...