Results 161 to 170 of about 6,905 (202)

Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method. [PDF]

Sci Rep
Iqbal M, Khan MI, Alrashdi HD, Algethamie R, Alomari FAH, Aljohani A, Mohammad N, Aljawi S.   +7 more
europepmc   +1 more source

Editorial: Understanding effective education: far transfer from a sociocultural and cognitive neural perspective. [PDF]

Front Psychol
Whitlow JW, Webb P, Meier I.
europepmc   +1 more source

Dynamical study of different types of soliton solutions with bifurcation, chaos and sensitivity analysis to the non-linear coupled Schrödinger model. [PDF]

Sci Rep
Nasir R, Abbas M, Alharthi MR, Nazir T, Yousaf MZ, Birhanu A.   +5 more
europepmc   +1 more source

Computational modeling of surface energy effects on linear and nonlinear frequencies in different crystalline orientations of anodic aluminum micro-beams. [PDF]

Sci Rep
Hajlaoui K, Ali ABM, Shabani M, Hussein SA.   +3 more
europepmc   +1 more source

On the exploration of periodic wave soliton solutions to the nonlinear integrable Akbota equation by using a generalized extended analytical method. [PDF]

Sci Rep
Iqbal M, Liu J, Faridi WA, Alrashdi HD, Algethamie R, Aljohani A, Mohammad N, Alsubaie AS.   +7 more
europepmc   +1 more source

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Trigonometric integration without trigonometric functions

Teaching Mathematics and its Applications, 2016
Teaching techniques of integration can be tedious and often uninspired. We present an obvious but underutilized approach for finding antiderivatives of various trigonometric functions using the complex exponential representation of the sine and cosine. The purpose goes beyond providing students an alternative approach to trigonometric integrals.
James Quinlan, Joseph Kolibal
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Trigonometric Functions

2022
In this chapter, we will define the Trigonometric Circle and extend the concept of angle discussed in Sec. 10.6 to angles whose measurement can be any real number [rather than angles whose measurement have to be between “0” (zero) and “2 π” (Rfullturn)].
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Problems: Trigonometric and Inverse Trigonometric Functions

2021
In this chapter, the basic and advanced problems of trigonometric and inverse trigonometric functions are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large).
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Solutions of Problems: Trigonometric and Inverse Trigonometric Functions

2021
In this chapter, the problems of the 11th chapter are fully solved, in detail, step-by-step, and with different methods.
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The Trigonometric Functions

The Mathematics Teacher, 1950
In this article we shall indicate many different methods by which the sine and cosine functions may be defined. (From these the other four functions may be obtained by their usual definitions in terms of the sine and cosine functions, viz., cot θ = cos θ/sin θ.) In the course of the discussion we shall consider the trigonometric functions from various ...
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