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  2. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    For example, the derivative of the sine function is written sin ′ (a) = cos(a), meaning that the rate of change of sin(x) at a particular angle x = a is given by the cosine of that angle. All derivatives of circular trigonometric functions can be found from those of sin( x ) and cos( x ) by means of the quotient rule applied to functions such ...

  3. Proofs of trigonometric identities - Wikipedia

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

    For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. The six trigonometric functions are defined for every real number , except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°).

  4. 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 ...

  5. This blood test screens for 50 different types of cancer. Is ...

    www.aol.com/lifestyle/blood-test-screens-50...

    Galleri, for example, screens for more than 50 different types of cancer from a single blood draw, including lung, breast, colon, liver and ovarian cancer, along with leukemia and lymphoma and ...

  6. Pan-cancer analysis - Wikipedia

    en.wikipedia.org/wiki/Pan-Cancer_Analysis

    Pan-cancer studies aim to detect the genes whose mutation is conducive to oncogenesis, as well as recurrent genomic events or aberrations between different tumors.For these studies, it is necessary to standardize the data between multiple platforms, establishing criteria between different researchers to work on the data and present the results.

  7. Differentiable function - Wikipedia

    en.wikipedia.org/wiki/Differentiable_function

    The converse does not hold: a continuous function need not be differentiable. For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly. Most functions that occur in practice have derivatives at all points or at almost every point.

  8. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. [1] It is one of the two traditional divisions of calculus, the other being integral calculus—the study of the area beneath a curve.

  9. 20% of Gen Z adults say getting a tan is 'more important' to ...

    www.aol.com/lifestyle/20-gen-z-adults-getting...

    A new survey finds that adults 18 to 25 lack sun safety knowledge, which puts them at greater risk for skin cancer later in life. 20% of Gen Z adults say getting a tan is 'more important' to them ...