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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. Proofs of trigonometric identities - Wikipedia

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

    Draw a horizontal line (the x-axis); mark an origin O. Draw a line from O at an angle above the horizontal line and a second line at an angle above that; the angle between the second line and the x-axis is +.

  4. 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.

  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 ...

  6. 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.

  7. Congress will have a record-setting number of Black members ...

    www.aol.com/congress-record-setting-number-black...

    The Congressional Black Caucus will boast a record 62 members for the next session of Congress, contributing toward the highest number of Black federal lawmakers in history, according to a post ...

  8. Video shows New Hampshire snowboarder trigger, escape ...

    www.aol.com/video-shows-hampshire-snowboarder...

    SARGENT’S PURCHASE, N.H. – A dramatic video recorded in New Hampshire shows a snowboarder triggering and then escaping a small avalanche on Mount Washington. The video, recorded by Andrew ...

  9. Can JonBenét Ramsey's murder be solved by 7 items of evidence?

    www.aol.com/news/jonben-t-ramseys-murder-solved...

    Ramsey also said there are seven items of evidence from the family's home that could still be tested for DNA including, he said, the garrote used to strangle JonBenét, a rope found in a guest ...